{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 基于流行度的推荐"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# -*- coding:utf-8 -*-\n",
    "import sys\n",
    "reload(sys)\n",
    "sys.setdefaultencoding(\"utf-8\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 读取数据\n",
    "用户(10万)、歌曲（3万）、播放次数、歌曲元数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "triplet_dataset_sub_song_merged=pd.read_csv('triplet_dataset_sub_song_merged.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>user</th>\n",
       "      <th>song</th>\n",
       "      <th>listen_count</th>\n",
       "      <th>title</th>\n",
       "      <th>release</th>\n",
       "      <th>artist_name</th>\n",
       "      <th>year</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>d6589314c0a9bcbca4fee0c93b14bc402363afea</td>\n",
       "      <td>SOADQPP12A67020C82</td>\n",
       "      <td>12</td>\n",
       "      <td>You And Me Jesus</td>\n",
       "      <td>Tribute To Jake Hess</td>\n",
       "      <td>Jake Hess</td>\n",
       "      <td>2004</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>d6589314c0a9bcbca4fee0c93b14bc402363afea</td>\n",
       "      <td>SOAFTRR12AF72A8D4D</td>\n",
       "      <td>1</td>\n",
       "      <td>Harder Better Faster Stronger</td>\n",
       "      <td>Discovery</td>\n",
       "      <td>Daft Punk</td>\n",
       "      <td>2007</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>d6589314c0a9bcbca4fee0c93b14bc402363afea</td>\n",
       "      <td>SOANQFY12AB0183239</td>\n",
       "      <td>1</td>\n",
       "      <td>Uprising</td>\n",
       "      <td>Uprising</td>\n",
       "      <td>Muse</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>d6589314c0a9bcbca4fee0c93b14bc402363afea</td>\n",
       "      <td>SOAYATB12A6701FD50</td>\n",
       "      <td>1</td>\n",
       "      <td>Breakfast At Tiffany's</td>\n",
       "      <td>Home</td>\n",
       "      <td>Deep Blue Something</td>\n",
       "      <td>1993</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>d6589314c0a9bcbca4fee0c93b14bc402363afea</td>\n",
       "      <td>SOBOAFP12A8C131F36</td>\n",
       "      <td>7</td>\n",
       "      <td>Lucky (Album Version)</td>\n",
       "      <td>We Sing.  We Dance.  We Steal Things.</td>\n",
       "      <td>Jason Mraz &amp; Colbie Caillat</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>d6589314c0a9bcbca4fee0c93b14bc402363afea</td>\n",
       "      <td>SOBONKR12A58A7A7E0</td>\n",
       "      <td>26</td>\n",
       "      <td>You're The One</td>\n",
       "      <td>If There Was A Way</td>\n",
       "      <td>Dwight Yoakam</td>\n",
       "      <td>1990</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>d6589314c0a9bcbca4fee0c93b14bc402363afea</td>\n",
       "      <td>SOBZZDU12A6310D8A3</td>\n",
       "      <td>7</td>\n",
       "      <td>Don't Dream It's Over</td>\n",
       "      <td>Recurring Dream_ Best Of Crowded House (Domest...</td>\n",
       "      <td>Crowded House</td>\n",
       "      <td>1986</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>d6589314c0a9bcbca4fee0c93b14bc402363afea</td>\n",
       "      <td>SOCAHRT12A8C13A1A4</td>\n",
       "      <td>5</td>\n",
       "      <td>S.O.S.</td>\n",
       "      <td>SOS</td>\n",
       "      <td>Jonas Brothers</td>\n",
       "      <td>2007</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>d6589314c0a9bcbca4fee0c93b14bc402363afea</td>\n",
       "      <td>SODASIJ12A6D4F5D89</td>\n",
       "      <td>1</td>\n",
       "      <td>The Invisible Man</td>\n",
       "      <td>The Invisible Man</td>\n",
       "      <td>Michael Cretu</td>\n",
       "      <td>1985</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>d6589314c0a9bcbca4fee0c93b14bc402363afea</td>\n",
       "      <td>SODEAWL12AB0187032</td>\n",
       "      <td>8</td>\n",
       "      <td>American Idiot [feat. Green Day &amp; The Cast Of ...</td>\n",
       "      <td>The Original Broadway Cast Recording 'American...</td>\n",
       "      <td>Green Day</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                       user                song  listen_count  \\\n",
       "0  d6589314c0a9bcbca4fee0c93b14bc402363afea  SOADQPP12A67020C82            12   \n",
       "1  d6589314c0a9bcbca4fee0c93b14bc402363afea  SOAFTRR12AF72A8D4D             1   \n",
       "2  d6589314c0a9bcbca4fee0c93b14bc402363afea  SOANQFY12AB0183239             1   \n",
       "3  d6589314c0a9bcbca4fee0c93b14bc402363afea  SOAYATB12A6701FD50             1   \n",
       "4  d6589314c0a9bcbca4fee0c93b14bc402363afea  SOBOAFP12A8C131F36             7   \n",
       "5  d6589314c0a9bcbca4fee0c93b14bc402363afea  SOBONKR12A58A7A7E0            26   \n",
       "6  d6589314c0a9bcbca4fee0c93b14bc402363afea  SOBZZDU12A6310D8A3             7   \n",
       "7  d6589314c0a9bcbca4fee0c93b14bc402363afea  SOCAHRT12A8C13A1A4             5   \n",
       "8  d6589314c0a9bcbca4fee0c93b14bc402363afea  SODASIJ12A6D4F5D89             1   \n",
       "9  d6589314c0a9bcbca4fee0c93b14bc402363afea  SODEAWL12AB0187032             8   \n",
       "\n",
       "                                               title  \\\n",
       "0                                   You And Me Jesus   \n",
       "1                      Harder Better Faster Stronger   \n",
       "2                                           Uprising   \n",
       "3                             Breakfast At Tiffany's   \n",
       "4                              Lucky (Album Version)   \n",
       "5                                     You're The One   \n",
       "6                              Don't Dream It's Over   \n",
       "7                                             S.O.S.   \n",
       "8                                  The Invisible Man   \n",
       "9  American Idiot [feat. Green Day & The Cast Of ...   \n",
       "\n",
       "                                             release  \\\n",
       "0                               Tribute To Jake Hess   \n",
       "1                                          Discovery   \n",
       "2                                           Uprising   \n",
       "3                                               Home   \n",
       "4              We Sing.  We Dance.  We Steal Things.   \n",
       "5                                 If There Was A Way   \n",
       "6  Recurring Dream_ Best Of Crowded House (Domest...   \n",
       "7                                                SOS   \n",
       "8                                  The Invisible Man   \n",
       "9  The Original Broadway Cast Recording 'American...   \n",
       "\n",
       "                   artist_name  year  \n",
       "0                    Jake Hess  2004  \n",
       "1                    Daft Punk  2007  \n",
       "2                         Muse     0  \n",
       "3          Deep Blue Something  1993  \n",
       "4  Jason Mraz & Colbie Caillat     0  \n",
       "5                Dwight Yoakam  1990  \n",
       "6                Crowded House  1986  \n",
       "7               Jonas Brothers  2007  \n",
       "8                Michael Cretu  1985  \n",
       "9                    Green Day     0  "
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "triplet_dataset_sub_song_merged.head(10)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 查看音乐数据集的情况"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 最流行的歌曲"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "popular_songs = triplet_dataset_sub_song_merged[['title','listen_count']].groupby('title').sum().reset_index()\n",
    "popular_songs_top_20 = popular_songs.sort_values('listen_count', ascending=False).head(n=20)\n",
    "import matplotlib.pyplot as plt; plt.rcdefaults()\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    " \n",
    "objects = (list(popular_songs_top_20['title']))\n",
    "y_pos = np.arange(len(objects))\n",
    "performance = list(popular_songs_top_20['listen_count'])\n",
    " \n",
    "plt.bar(y_pos, performance, align='center', alpha=0.5)\n",
    "plt.xticks(y_pos, objects, rotation='vertical')\n",
    "plt.ylabel('Item count')\n",
    "plt.title('Most popular songs')\n",
    " \n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 最受欢迎的releases"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-09-24T14:31:19.717845Z",
     "start_time": "2017-09-24T14:31:14.004246Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "popular_release = triplet_dataset_sub_song_merged[['release','listen_count']].groupby('release').sum().reset_index()\n",
    "popular_release_top_20 = popular_release.sort_values('listen_count', ascending=False).head(n=20)\n",
    "\n",
    "objects = (list(popular_release_top_20['release']))\n",
    "y_pos = np.arange(len(objects))\n",
    "performance = list(popular_release_top_20['listen_count'])\n",
    " \n",
    "plt.bar(y_pos, performance, align='center', alpha=0.5)\n",
    "plt.xticks(y_pos, objects, rotation='vertical')\n",
    "plt.ylabel('Item count')\n",
    "plt.title('Most popular Release')\n",
    " \n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 最受欢迎的歌手"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-09-24T14:34:20.212228Z",
     "start_time": "2017-09-24T14:34:15.653934Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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rKSnRQw89JH9/f3l5eWnQoEHat2+fy3a5ubkaOHCgvLy85O/vr7Fjx6q0tNSlJjMzU+Hh4fLw8FC7du00b968Kvt/9dVXFRISIg8PD4WHh+ubb75xGa9NLwAAABXOi5C1YcMGvf766+rSpYvL+nHjxmnZsmVKTU3V6tWrdezYMQ0YMEDl5eWSpPLycvXv31/Hjx/X6tWrlZqaqqVLl2rChAnmHLt27VK/fv10ww03aNOmTZo0aZLGjh2rpUuXmjVLlizRuHHjNHnyZG3atEk33HCD+vbtq9zc3Fr3AgAAUJnNMAyjIRs4duyYrr32Wr366qt6+umndfXVVyslJUVFRUVq0aKF3nnnHcXGxkqS9u/fr+DgYC1fvlx9+vTR559/rgEDBmjv3r1yOp2SpNTUVMXHx6ugoEA+Pj569NFH9fHHH2vHjh3mPkeOHKnNmzcrKytLktStWzdde+21mjt3rlnTqVMn3XbbbUpOTq5VL7VRXFwsh8OhoqIi+fj41Mvxq+zFjJ/qZZ7x0X+ql3kAALgQ/N5/vxv8TNbo0aPVv39/3XzzzS7rs7OzVVZWppiYGHOd0+lUWFiY1qxZI0nKyspSWFiYGbAkqU+fPiopKVF2drZZU3mOipqNGzeqrKxMpaWlys7OrlITExNj7qc2vQAAAFTm1pA7T01NVXZ2tjZu3FhlLD8/X+7u7vL19XVZHxgYqPz8fLMmMDDQZdzX11fu7u7nrAkMDNSpU6d08OBBGYah8vLyamsqz1FTL9UpKSlRSUmJ+bm4uPistQAA4MLSYGey9u7dq4cffliLFi2Sh4dHrbczDEM2m838XPnn2tZUXCGtqaa6uetSk5ycLIfDYS7BwcHnnA8AAFw4GixkZWdnq6CgQOHh4XJzc5Obm5syMzP18ssvy83NTYGBgSotLVVhYaHLdgUFBeZZp6CgoCpnkgoLC1VWVnbOmoKCArm5ual58+by9/dXkyZNqq2pPEdNvVQnKSlJRUVF5rJ37946HCEAANCYNVjI6t27t7Zs2aKcnBxziYiI0D333GP+3LRpU2VkZJjb5OXlaevWrerevbskKTIyUlu3blVeXp5Zk56eLrvdrvDwcLOm8hwVNRXzu7u7Kzw8vEpNRkaGuZ/w8PAae6mO3W6Xj4+PywIAAC4ODXZPlre3t8LCwlzWeXl5qXnz5ub6ESNGaMKECWrevLn8/Pw0ceJEde7c2bxJPiYmRqGhoYqLi9OMGTN0+PBhTZw4UQkJCWagGTlypObMmaPExEQlJCQoKytL8+fP1+LFi839JiYmKi4uThEREYqMjNTrr7+u3NxcjRw5UpLkcDhq7AUAAKCyBr3xvSYvvvii3NzcNHToUJ04cUK9e/fWwoUL1aRJE0lSkyZN9Nlnn2nUqFHq0aOHPD09NWzYMM2cOdOcIyQkRMuXL9f48eP1yiuvyOl06uWXX9Ydd9xh1sTGxurQoUOaNm2a8vLyFBYWpuXLl6tt27a17gUAAKCyBn9P1sWE92QBAND4NNr3ZAEAAFyICFkAAAAWIGQBAABYgJAFAABgAUIWAACABQhZAAAAFiBkAQAAWICQBQAAYAFCFgAAgAUIWQAAABYgZAEAAFiAkAUAAGABQhYAAIAFCFkAAAAWIGQBAABYgJAFAABgAUIWAACABQhZAAAAFiBkAQAAWICQBQAAYAFCFgAAgAUIWQAAABYgZAEAAFiAkAUAAGABQhYAAIAFCFkAAAAWIGQBAABYgJAFAABgAUIWAACABQhZAAAAFiBkAQAAWKBBQ9bcuXPVpUsX+fj4yMfHR5GRkfr888/N8Z49e8pms7ksd911l8schYWFiouLk8PhkMPhUFxcnI4cOeJSs2XLFkVFRcnT01OtWrXStGnTZBiGS83SpUsVGhoqu92u0NBQLVu2zGXcMAxNmTJFTqdTnp6e6tmzp7Zt21bPRwQAAFwoGjRktW7dWs8++6w2btyojRs36qabbtKtt97qEl4SEhKUl5dnLq+99prLHMOGDVNOTo7S0tKUlpamnJwcxcXFmePFxcWKjo6W0+nUhg0bNHv2bM2cOVOzZs0ya7KyshQbG6u4uDht3rxZcXFxGjp0qNatW2fWPP/885o1a5bmzJmjDRs2KCgoSNHR0Tp69KiFRwgAADRWNuPMUzoNzM/PTzNmzNCIESPUs2dPXX311UpJSam2dseOHQoNDdXatWvVrVs3SdLatWsVGRmpH374QR07dtTcuXOVlJSkAwcOyG63S5KeffZZzZ49W/v27ZPNZlNsbKyKi4tdzqLdcsst8vX11eLFi2UYhpxOp8aNG6dHH31UklRSUqLAwEA999xzevDBB2v13YqLi+VwOFRUVCQfH58/cpiq9WLGT/Uyz/joP9XLPAAAXAh+77/f5809WeXl5UpNTdXx48cVGRlprl+0aJH8/f111VVXaeLEiS5njrKysuRwOMyAJUnXX3+9HA6H1qxZY9ZERUWZAUuS+vTpo/3792v37t1mTUxMjEs/ffr0MefYtWuX8vPzXWrsdruioqLMGgAAgMrcGrqBLVu2KDIyUidPntSll16qZcuWKTQ0VJJ0zz33KCQkREFBQdq6dauSkpK0efNmZWRkSJLy8/MVEBBQZc6AgADl5+ebNZdffrnLeGBgoDkWEhKi/Px8c13lmspzVN6ucs2ePXvO+t1KSkpUUlJifi4uLq7xeAAAgAtDg4esjh07KicnR0eOHNHSpUs1fPhwZWZmKjQ0VAkJCWZdWFiYOnTooIiICH333Xe69tprJUk2m63KnIZhuKw/s6biCmlNNWeuq01NZcnJyZo6depZxwEAwIWrwS8Xuru764orrlBERISSk5PVtWtXvfTSS9XWXnvttWratKl27twpSQoKCtKBAweq1P3yyy/mWaegoCDzTFSFgoICSaqxpvK4pHPWVCcpKUlFRUXmsnfv3rPWAgCAC0uDh6wzGYbhcomtsm3btqmsrEwtW7aUJEVGRqqoqEjr1683a9atW6eioiJ1797drFm1apVKS0vNmvT0dDmdTvMyYmRkpHkJsnJNxRwVlywr15SWliozM9OsqY7dbjdfT1GxAACAi0ODXi6cNGmS+vbtq+DgYB09elSpqalauXKl0tLS9PPPP2vRokXq16+f/P39tX37dk2YMEHXXHONevToIUnq1KmTbrnlFiUkJJivdvjb3/6mAQMGqGPHjpJ+e8XD1KlTFR8fr0mTJmnnzp2aPn26nnzySfNS38MPP6wbb7xRzz33nG699VZ99NFH+vLLL7V69WpJv10mHDdunKZPn64OHTqoQ4cOmj59upo1a6Zhw4Y1wJEDAADnuwYNWQcOHFBcXJzy8vLkcDjUpUsXpaWlKTo6Wnv37tVXX32ll156SceOHVNwcLD69++vp556Sk2aNDHnWLRokcaOHWs++Tdo0CDNmTPHHHc4HMrIyNDo0aMVEREhX19fJSYmKjEx0azp3r27UlNT9fjjj+uJJ55Q+/bttWTJEpenFh955BGdOHFCo0aNUmFhobp166b09HR5e3v/D44UAABobM6792RdyHhPFgAAjU+jf08WAADAhYSQBQAAYAFCFgAAgAUIWQAAABYgZAEAAFiAkAUAAGABQhYAAIAFGvwPROP8V1/v35KqvoOLd3sBAC5UnMkCAACwACELAADAAoQsAAAACxCyAAAALEDIAgAAsAAhCwAAwAKELAAAAAsQsgAAACxAyAIAALAAIQsAAMAChCwAAAALELIAAAAsQMgCAACwACELAADAAoQsAAAACxCyAAAALEDIAgAAsAAhCwAAwAKELAAAAAsQsgAAACxAyAIAALAAIQsAAMAChCwAAAALNGjImjt3rrp06SIfHx/5+PgoMjJSn3/+uTleUlKihx56SP7+/vLy8tKgQYO0b98+lzlyc3M1cOBAeXl5yd/fX2PHjlVpaalLTWZmpsLDw+Xh4aF27dpp3rx5VXp59dVXFRISIg8PD4WHh+ubb75xGa9NLwAAABUaNGS1bt1azz77rDZu3KiNGzfqpptu0q233qpt27ZJksaNG6dly5YpNTVVq1ev1rFjxzRgwACVl5dLksrLy9W/f38dP35cq1evVmpqqpYuXaoJEyaY+9i1a5f69eunG264QZs2bdKkSZM0duxYLV261KxZsmSJxo0bp8mTJ2vTpk264YYb1LdvX+Xm5po1NfUCAABQmc0wDKOhm6jMz89PM2bM0JAhQ9SiRQu98847io2NlSTt379fwcHBWr58ufr06aPPP/9cAwYM0N69e+V0OiVJqampio+PV0FBgXx8fPToo4/q448/1o4dO8x9jBw5Ups3b1ZWVpYkqVu3brr22ms1d+5cs6ZTp0667bbblJycrKKiohp7qY3i4mI5HA4VFRXJx8enXo5XZS9m/FQv84yP/pMl81o595nzAgBQX37vv99uFvZUJ+Xl5Xr//fd1/PhxRUZGKjs7W2VlZYqJiTFrnE6nwsLCtGbNGvXp00dZWVkKCwszA5Yk9enTRyUlJcrOzlavXr2UlZXlMkdFzfz581VWVibDMJSdna3HHnvMpSYmJkZr1qyRpFr1gvMPAQ4A0JAaPGRt2bJFkZGROnnypC699FItW7ZMoaGhysnJkbu7u3x9fV3qAwMDlZ+fL0nKz89XYGCgy7ivr6/c3d3PWRMYGKhTp07p4MGDMgxD5eXl1dZUnqOmXqpTUlKikpIS83NxcXFtDgkAALgANPjThR07dlROTo7Wrl2rv//97xo+fLi2b99+1nrDMGSz2czPlX+ubU3FFdKaaqqbuy41ycnJcjgc5hIcHHzO+QAAwIWjwUOWu7u7rrjiCkVERCg5OVldu3bVSy+9pKCgIJWWlqqwsNClvqCgwDzrFBQUVOVMUmFhocrKys5ZU1BQIDc3NzVv3lz+/v5q0qRJtTWV56ipl+okJSWpqKjIXPbu3VuHIwMAABqzBg9ZZzIMQyUlJQoPD1fTpk2VkZFhjuXl5Wnr1q3q3r27JCkyMlJbt25VXl6eWZOeni673a7w8HCzpvIcFTURERFq2rSp3N3dFR4eXqUmIyPD3E9teqmO3W43X09RsQAAgItDg96TNWnSJPXt21fBwcE6evSoUlNTtXLlSqWlpcnhcGjEiBGaMGGCmjdvLj8/P02cOFGdO3fWzTffLOm3m9NDQ0MVFxenGTNm6PDhw5o4caISEhLMQDNy5EjNmTNHiYmJSkhIUFZWlubPn6/FixebfSQmJiouLk4RERGKjIzU66+/rtzcXI0cOVKSatULAABAZQ0asg4cOKC4uDjl5eXJ4XCoS5cuSktLU3R0tCTpxRdflJubm4YOHaoTJ06od+/eWrhwoZo0aSJJatKkiT777DONGjVKPXr0kKenp4YNG6aZM2ea+wgJCdHy5cs1fvx4vfLKK3I6nXr55Zd1xx13mDWxsbE6dOiQpk2bpry8PIWFhWn58uVq27atWVNTLwAAAJWdd+/JupDxnqz/7XuyeIUDAKA+/N5/v8+7e7IAAAAuBIQsAAAACxCyAAAALEDIAgAAsAAhCwAAwAKELAAAAAsQsgAAACxAyAIAALAAIQsAAMAChCwAAAALELIAAAAsQMgCAACwACELAADAAoQsAAAACxCyAAAALEDIAgAAsAAhCwAAwAKELAAAAAsQsgAAACxAyAIAALAAIQsAAMAChCwAAAALELIAAAAsQMgCAACwQJ1D1v3336+jR49WWX/8+HHdf//99dIUAABAY1fnkPXWW2/pxIkTVdafOHFCb7/9dr00BQAA0Ni51bawuLhYhmHIMAwdPXpUHh4e5lh5ebmWL1+ugIAAS5oEAABobGodsi677DLZbDbZbDb96U9/qjJus9k0derUem0OAACgsap1yFqxYoUMw9BNN92kpUuXys/Pzxxzd3dX27Zt5XQ6LWkSAACgsal1yIqKipIk7dq1S8HBwbrkEh5MBAAAOJtah6wKbdu21ZEjR7R+/XoVFBTo9OnTLuP33ntvvTUHAADQWNX5dNQnn3yiNm3aqG/fvhozZowefvhhcxk3blyd5kpOTtZ1110nb29vBQQE6LbbbtOPP/7oUtOzZ0/zXrCK5a677nKpKSwsVFxcnBwOhxza13JNAAAgAElEQVQOh+Li4nTkyBGXmi1btigqKkqenp5q1aqVpk2bJsMwXGqWLl2q0NBQ2e12hYaGatmyZS7jhmFoypQpcjqd8vT0VM+ePbVt27Y6fWcAAHBxqHPImjBhgvmurCNHjqiwsNBcDh8+XKe5MjMzNXr0aK1du1YZGRk6deqUYmJidPz4cZe6hIQE5eXlmctrr73mMj5s2DDl5OQoLS1NaWlpysnJUVxcnDleXFys6OhoOZ1ObdiwQbNnz9bMmTM1a9YssyYrK0uxsbGKi4vT5s2bFRcXp6FDh2rdunVmzfPPP69Zs2Zpzpw52rBhg4KCghQdHV3te8MAAMDFrc6XC//73/9q7Nixatas2R/eeVpamsvnBQsWKCAgQNnZ2brxxhvN9c2aNVNQUFC1c+zYsUNpaWlau3atunXrJkl64403FBkZqR9//FEdO3bUokWLdPLkSS1cuFB2u11hYWH66aefNGvWLCUmJspmsyklJUXR0dFKSkqSJCUlJSkzM1MpKSlavHixDMNQSkqKJk+erMGDB0v67Z1hgYGBeu+99/Tggw/+4eOBxuPFjJ/qZZ7x0VWf1AUAXBjqfCarT58+2rhxoxW9qKioSJJcnlyUpEWLFsnf319XXXWVJk6c6HLmKCsrSw6HwwxYknT99dfL4XBozZo1Zk1UVJTsdrvL99i/f792795t1sTExLjst0+fPuYcu3btUn5+vkuN3W5XVFSUWXOmkpISFRcXuywAAODiUOczWf3799c//vEPbd++XZ07d1bTpk1dxgcNGvS7GjEMQ4mJifrLX/6isLAwc/0999yjkJAQBQUFaevWrUpKStLmzZuVkZEhScrPz6/2JagBAQHKz883ay6//HKX8cDAQHMsJCRE+fn55rrKNZXnqLxd5Zo9e/ZU+52Sk5N5dxgAABepOoeshIQESdK0adOqjNlsNpWXl/+uRsaMGaPvv/9eq1evrnZ/khQWFqYOHTooIiJC3333na699lpzv2cyDMNl/Zk1FTe911Rz5rra1FRISkpSYmKi+bm4uFjBwcHV1gIAgAtLnS8Xnj59+qzL7w1YDz30kD7++GOtWLFCrVu3Pmfttddeq6ZNm2rnzp2SpKCgIB04cKBK3S+//GKedQoKCjLPRFUoKCiQpBprKo9LOmfNmex2u3x8fFwWAABwcWjQN4oahqExY8bogw8+0Ndff62QkJAat9m2bZvKysrUsmVLSVJkZKSKioq0fv16s2bdunUqKipS9+7dzZpVq1aptLTUrElPT5fT6TQvI0ZGRpqXICvXVMxRccmyck1paakyMzPNGgAAgAp1vlxY3WXCyp588slazzV69Gi99957+uijj+Tt7W2eJXI4HPL09NTPP/+sRYsWqV+/fvL399f27ds1YcIEXXPNNerRo4ckqVOnTrrllluUkJBgvtrhb3/7mwYMGKCOHTtK+u0VD1OnTlV8fLwmTZqknTt3avr06XryySfNS30PP/ywbrzxRj333HO69dZb9dFHH+nLL780L1/abDaNGzdO06dPV4cOHdShQwdNnz5dzZo107Bhw+p2EIGzqK+nFiWeXASAhlbnkHXmCzrLysq0a9cuubm5qX379nUKWXPnzpX02wtHK1uwYIHi4+Pl7u6ur776Si+99JKOHTum4OBg9e/fX0899ZSaNGli1i9atEhjx441n/wbNGiQ5syZY447HA5lZGRo9OjRioiIkK+vrxITE13ul+revbtSU1P1+OOP64knnlD79u21ZMkSl6cWH3nkEZ04cUKjRo1SYWGhunXrpvT0dHl7e9f6OwMAgItDnUPWpk2bqqwrLi5WfHy8br/99jrNdeYb188UHByszMzMGufx8/PTu+++e86azp07a9WqVeesGTJkiIYMGXLWcZvNpilTpmjKlCk19gQAAC5u9XJPlo+Pj6ZNm6YnnniiPqYDAABo9OrtxvcjR46YLxMFAAC42NX5cuHLL7/s8tkwDOXl5emdd97RLbfcUm+NAQAANGZ1Dlkvvviiy+dLLrlELVq00PDhw82/+wcAAHCxq3PI2rVrlxV9AAAAXFD+0D1Z+/bt03//+9/66gUAAOCC8bv+rM60adPkcDjUtm1btWnTRpdddpn+7//+T6dPn7aiRwAAgEanzpcLJ0+erPnz5+vZZ59Vjx49ZBiGvv32W02ZMkUnT57UM888Y0WfAAAAjUqdQ9Zbb72lf/7znxo0aJC5rmvXrmrVqpVGjRpFyAIAANDvuFx4+PBhXXnllVXWX3nllTp8+HC9NAUAANDY1flMVteuXTVnzpwq78uaM2eOunbtWm+NAahf9fXHp/nD0wBQO3UOWc8//7z69++vL7/8UpGRkbLZbFqzZo327t2r5cuXW9EjAABAo1Pny4VRUVH68ccfdfvtt+vIkSM6fPiwBg8erB9//FE33HCDFT0CAAA0OnU+kyVJrVq14gZ3AACAc6jzmawFCxbo/fffr7L+/fff11tvvVUvTQEAADR2dQ5Zzz77rPz9/ausDwgI0PTp0+ulKQAAgMauziFrz549CgkJqbK+bdu2ys3NrZemAAAAGrs6h6yAgAB9//33VdZv3rxZzZs3r5emAAAAGrs6h6y77rpLY8eO1YoVK1ReXq7y8nJ9/fXXevjhh3XXXXdZ0SMAAECjU+enC59++mnt2bNHvXv3lpvbb5ufPn1a9957L/dkARcpXnQKAFXVOWS5u7tryZIlevrpp5WTkyNPT0917txZbdu2taI/AACARul3vSdLkjp06KAOHTrUZy8AAAAXjDrfkwUAAICaEbIAAAAsQMgCAACwwO++JwsA/hd4chFAY/W7QtbJkyf1/fffq6CgQKdPn3YZGzRoUL00BgAA0JjVOWSlpaXp3nvv1cGDB6uM2Ww2lZeX10tjAGA1zpIBsFKd78kaM2aM7rzzTuXl5en06dMuCwELAADgN3UOWQUFBUpMTFRgYKAV/QAAAFwQ6hyyhgwZopUrV1rQCgAAwIWjziFrzpw5+uCDDxQfH68XXnhBL7/8sstSF8nJybruuuvk7e2tgIAA3Xbbbfrxxx9dakpKSvTQQw/J399fXl5eGjRokPbt2+dSk5ubq4EDB8rLy0v+/v4aO3asSktLXWoyMzMVHh4uDw8PtWvXTvPmzavSz6uvvqqQkBB5eHgoPDxc33zzTZ17AQAAkH7Hje/vvfeevvjiC3l6emrlypWy2WzmmM1m09ixY2s9V2ZmpkaPHq3rrrtOp06d0uTJkxUTE6Pt27fLy8tLkjRu3Dh98sknSk1NVfPmzTVhwgQNGDBA2dnZatKkicrLy9W/f3+1aNFCq1ev1qFDhzR8+HAZhqHZs2dLknbt2qV+/fopISFB7777rr799luNGjVKLVq00B133CFJWrJkicaNG6dXX31VPXr00Guvvaa+fftq+/btatOmTa16AQAAqFDnkPX4449r2rRpeuyxx3TJJX/sXaZpaWkunxcsWKCAgABlZ2frxhtvVFFRkebPn6933nlHN998syTp3XffVXBwsL788kv16dNH6enp2r59u/bu3Sun0ylJeuGFFxQfH69nnnlGPj4+mjdvntq0aaOUlBRJUqdOnbRx40bNnDnTDFmzZs3SiBEj9MADD0iSUlJS9MUXX2ju3LlKTk6uVS8AAAAV6pySSktLFRsb+4cDVnWKiookSX5+fpKk7OxslZWVKSYmxqxxOp0KCwvTmjVrJElZWVkKCwszA5Yk9enTRyUlJcrOzjZrKs9RUbNx40aVlZWptLRU2dnZVWpiYmLM/dSmlzOVlJSouLjYZQEAABeHOiel4cOHa8mSJfXeiGEYSkxM1F/+8heFhYVJkvLz8+Xu7i5fX1+X2sDAQOXn55s1Zz7p6OvrK3d393PWBAYG6tSpUzp48KAOHjyo8vLyamsqz1FTL2dKTk6Ww+Ewl+Dg4LocEgAA0IjV+XJheXm5nn/+eX3xxRfq0qWLmjZt6jI+a9as39XImDFj9P3332v16tU11hqGUeVesLrWGIZhrq/887nmqE0vlSUlJSkxMdH8XFxcTNACAOAiUeeQtWXLFl1zzTWSpK1bt7qM1RRIzuahhx7Sxx9/rFWrVql169bm+qCgIJWWlqqwsNDlDFJBQYG6d+9u1qxbt85lvsLCQpWVlZlnpoKCgqqcbSooKJCbm5uaN28uwzDUpEmTamsqz1FTL2ey2+2y2+11PRwAAOACUOeQtWLFinrbuWEYeuihh7Rs2TKtXLlSISEhLuPh4eFq2rSpMjIyNHToUElSXl6etm7dqueff16SFBkZqWeeeUZ5eXlq2bKlJCk9PV12u13h4eFmzSeffOIyd3p6uiIiIswzceHh4crIyNDtt99u1mRkZOjWW2+tdS8AINXfn+uR+JM9QGP2u/5AtCT9+9//1s8//6wbb7xRnp6etbq0dqbRo0frvffe00cffSRvb2/zTJLD4ZCnp6ccDodGjBihCRMmqHnz5vLz89PEiRPVuXNn8wm/mJgYhYaGKi4uTjNmzNDhw4c1ceJEJSQkyMfHR5I0cuRIzZkzR4mJiUpISFBWVpbmz5+vxYsXm70kJiYqLi5OERERioyM1Ouvv67c3FyNHDnS7KmmXgAAACrUOWQdOnRIQ4cO1YoVK2Sz2bRz5061a9dODzzwgC677DK98MILtZ5r7ty5kqSePXu6rF+wYIHi4+MlSS+++KLc3Nw0dOhQnThxQr1799bChQvN91I1adJEn332mUaNGqUePXrI09NTw4YN08yZM835QkJCtHz5co0fP16vvPKKnE6nXn75ZfP1DZIUGxurQ4cOadq0acrLy1NYWJiWL1+utm3bmjU19QIAVuOPWgONR51D1vjx49W0aVPl5uaqU6dO5vrY2FiNHz++TiGr4obzc/Hw8NDs2bPNF4tWp02bNvr000/POU9UVJS+++67c9aMGjVKo0aN+kO9AEBjRYAD6ledQ1Z6erq++OILlxvUJalDhw7as2dPvTUGAADQmNX5PVnHjx9Xs2bNqqw/ePAgT9IBAAD8/+ocsm688Ua9/fbb5mebzabTp09rxowZ6tWrV702BwAA0FjV+XLhjBkz1LNnT23cuFGlpaV65JFHtG3bNh0+fFjffvutFT0CAAA0OnUOWaGhofr+++81d+5cNWnSRMePH9fgwYM1evRo8z1VAABUxk31uBjVOWTl5uYqODhYU6dOrXasTZs29dIYAAA14cWvOJ/V+Z6skJAQ/fLLL1XWHzp0qMob2wEAAC5WdQ5ZZ3uz+7Fjx+Th4VEvTQEAADR2tb5cmJiYKOm3pwmfeOIJl9c4lJeXa926dbr66qvrv0MAAIBGqNYha9OmTZJ+O5O1ZcsWubu7m2Pu7u7q2rWrJk6cWP8dAgAANEK1DlkrVqyQJN1333166aWXzD++DAAAgKrq/HThggULrOgDAADgglLrkDV48OBa1X3wwQe/uxkAAIALRa1DlsPhsLIPAACAC0qtQxaXCQEAFxPeUo8/qs7vyQIAAEDN6nzjOwAA+GM4S3Zx4EwWAACABTiTBQDABYSzZOcPQhYAAKhRfYU36eIJcFwuBAAAsAAhCwAAwAKELAAAAAsQsgAAACxAyAIAALAAIQsAAMAChCwAAAALELIAAAAsQMgCAACwACELAADAAoQsAAAACzRoyFq1apUGDhwop9Mpm82mDz/80GU8Pj5eNpvNZbn++utdakpKSvTQQw/J399fXl5eGjRokPbt2+dSk5ubq4EDB8rLy0v+/v4aO3asSktLXWoyMzMVHh4uDw8PtWvXTvPmzavS76uvvqqQkBB5eHgoPDxc33zzTT0dCQAAcKFp0JB1/Phxde3aVXPmzDlrzS233KK8vDxzWb58ucv4uHHjtGzZMqWmpmr16tU6duyYBgwYoPLycklSeXm5+vfvr+PHj2v16tVKTU3V0qVLNWHCBHOOXbt2qV+/frrhhhu0adMmTZo0SWPHjtXSpUvNmiVLlmjcuHGaPHmyNm3apBtuuEF9+/ZVbm5uPR8VAABwIXBryJ337dtXffv2PWeN3W5XUFBQtWNFRUWaP3++3nnnHd18882SpHfffVfBwcH68ssv1adPH6Wnp2v79u3au3evnE6nJOmFF15QfHy8nnnmGfn4+GjevHlq06aNUlJSJEmdOnXSxo0bNXPmTN1xxx2SpFmzZmnEiBF64IEHJEkpKSn64osvNHfuXCUnJ9fL8QAAABeOBg1ZtbFy5UoFBATosssuU1RUlJ555hkFBARIkrKzs1VWVqaYmBiz3ul0KiwsTGvWrFGfPn2UlZWlsLAwM2BJUp8+fVRSUqLs7Gz16tVLWVlZLnNU1MyfP19lZWUyDEPZ2dl67LHHXGpiYmK0Zs2as/ZeUlKikpIS83NxcfEfOhYAAFyIXsz4qV7mGR/9p3qZp76c1ze+9+3bV4sWLdLXX3+tF154QRs2bNBNN91kBpf8/Hy5u7vL19fXZbvAwEDl5+ebNYGBgS7jvr6+cnd3P2dNYGCgTp06pYMHD+rgwYMqLy+vtqZijuokJyfL4XCYS3Bw8O87EAAAoNE5r89kxcbGmj+HhYUpIiJCbdu21WeffabBgwefdTvDMGSz2czPlX+ubY1hGOb6yj+fa44zJSUlKTEx0fxcXFxM0AIA4CJxXp/JOlPLli3Vtm1b7dy5U5IUFBSk0tJSFRYWutQVFBSYZ52CgoKqnG0qLCxUWVnZOWsKCgrk5uam5s2by9/fX02aNKm25syzW5XZ7Xb5+Pi4LAAA4OLQqELWoUOHtHfvXrVs2VKSFB4erqZNmyojI8OsycvL09atW9W9e3dJUmRkpLZu3aq8vDyzJj09XXa7XeHh4WZN5TkqaiIiItS0aVO5u7srPDy8Sk1GRoa5HwAAgMoa9HLhsWPH9O9//9v8vGvXLuXk5MjPz09+fn6aMmWK7rjjDrVs2VK7d+/WpEmT5O/vr9tvv12S5HA4NGLECE2YMEHNmzeXn5+fJk6cqM6dO5tPG8bExCg0NFRxcXGaMWOGDh8+rIkTJyohIcE8szRy5EjNmTNHiYmJSkhIUFZWlubPn6/FixebvSUmJiouLk4RERGKjIzU66+/rtzcXI0cOfJ/eMQAAEBj0aAha+PGjerVq5f5ueL+peHDh2vu3LnasmWL3n77bR05ckQtW7ZUr169tGTJEnl7e5vbvPjii3Jzc9PQoUN14sQJ9e7dWwsXLlSTJk0kSU2aNNFnn32mUaNGqUePHvL09NSwYcM0c+ZMc46QkBAtX75c48eP1yuvvCKn06mXX37ZfH2D9Nv9YYcOHdK0adOUl5ensLAwLV++XG3btrX6MAEAgEaoQUNWz549zZvKq/PFF1/UOIeHh4dmz56t2bNnn7WmTZs2+vTTT885T1RUlL777rtz1owaNUqjRo2qsScAAIBGdU8WAABAY0HIAgAAsAAhCwAAwAKELAAAAAsQsgAAACxAyAIAALAAIQsAAMAChCwAAAALELIAAAAsQMgCAACwACELAADAAoQsAAAACxCyAAAALEDIAgAAsAAhCwAAwAKELAAAAAsQsgAAACxAyAIAALAAIQsAAMAChCwAAAALELIAAAAsQMgCAACwACELAADAAoQsAAAACxCyAAAALEDIAgAAsAAhCwAAwAKELAAAAAsQsgAAACxAyAIAALAAIQsAAMACDRqyVq1apYEDB8rpdMpms+nDDz90GTcMQ1OmTJHT6ZSnp6d69uypbdu2udQUFhYqLi5ODodDDodDcXFxOnLkiEvNli1bFBUVJU9PT7Vq1UrTpk2TYRguNUuXLlVoaKjsdrtCQ0O1bNmyOvcCAABQoUFD1vHjx9W1a1fNmTOn2vHnn39es2bN0pw5c7RhwwYFBQUpOjpaR48eNWuGDRumnJwcpaWlKS0tTTk5OYqLizPHi4uLFR0dLafTqQ0bNmj27NmaOXOmZs2aZdZkZWUpNjZWcXFx2rx5s+Li4jR06FCtW7euTr0AAABUcGvInfft21d9+/atdswwDKWkpGjy5MkaPHiwJOmtt95SYGCg3nvvPT344IPasWOH0tLStHbtWnXr1k2S9MYbbygyMlI//vijOnbsqEWLFunkyZNauHCh7Ha7wsLC9NNPP2nWrFlKTEyUzWZTSkqKoqOjlZSUJElKSkpSZmamUlJStHjx4lr1AgAAUNl5e0/Wrl27lJ+fr5iYGHOd3W5XVFSU1qxZI+m3M1AOh8MMWJJ0/fXXy+FwuNRERUXJbrebNX369NH+/fu1e/dus6byfipqKuaoTS/VKSkpUXFxscsCAAAuDudtyMrPz5ckBQYGuqwPDAw0x/Lz8xUQEFBl24CAAJea6uaovI+z1VQer6mX6iQnJ5v3ijkcDgUHB5/jGwMAgAvJeRuyKthsNpfPhmG4rDtzvDY1FTe911Rz5rra1FSWlJSkoqIic9m7d+9ZawEAwIXlvA1ZQUFBklTlTFFBQYF5RikoKEgHDhyosu0vv/ziUlPdHJJqrKk8XlMv1bHb7fLx8XFZAADAxeG8DVkhISEKCgpSRkaGua60tFSZmZnq3r27JCkyMlJFRUVav369WbNu3ToVFRW51KxatUqlpaVmTXp6upxOpy6//HKzpvJ+Kmoq5qhNLwAAAJU1aMg6duyYcnJylJOTI+m3G8xzcnKUm5srm82mcePGafr06Vq2bJm2bt2q+Ph4NWvWTMOGDZMkderUSbfccosSEhK0du1arV27VgkJCRowYIA6duwo6bdXPNjtdsXHx2vr1q1atmyZpk+fbj5ZKEkPP/yw0tPT9dxzz+mHH37Qc889py+//FLjxo2TpFr1AgAAUFmDvsJh48aN6tWrl/k5MTFRkjR8+HAtXLhQjzzyiE6cOKFRo0apsLBQ3bp1U3p6ury9vc1tFi1apLFjx5pP/g0aNMjlvVsOh0MZGRkaPXq0IiIi5Ovrq8TERHNfktS9e3elpqbq8ccf1xNPPKH27dtryZIlLk8t1qYXAACACg0asnr27FnlzeuV2Ww2TZkyRVOmTDlrjZ+fn959991z7qdz585atWrVOWuGDBmiIUOG/KFeAAAAKpy392QBAAA0ZoQsAAAACxCyAAAALEDIAgAAsAAhCwAAwAKELAAAAAsQsgAAACxAyAIAALAAIQsAAMAChCwAAAALELIAAAAsQMgCAACwACELAADAAoQsAAAACxCyAAAALEDIAgAAsAAhCwAAwAKELAAAAAsQsgAAACxAyAIAALAAIQsAAMAChCwAAAALELIAAAAsQMgCAACwACELAADAAoQsAAAACxCyAAAALEDIAgAAsAAhCwAAwAKELAAAAAsQsgAAACxwXoesKVOmyGazuSxBQUHmuGEYmjJlipxOpzw9PdWzZ09t27bNZY7CwkLFxcXJ4XDI4XAoLi5OR44ccanZsmWLoqKi5OnpqVatWmnatGkyDMOlZunSpQoNDZXdbldoaKiWLVtm3RcHAACN3nkdsiTpqquuUl5enrls2bLFHHv++ec1a9YszZkzRxs2bFBQUJCio6N19OhRs2bYsGHKyclRWlqa0tLSlJOTo7i4OHO8uLhY0dHRcjqd2rBhg2bPnq2ZM2dq1qxZZk1WVpZiY2MVFxenzZs3Ky4uTkOHDtW6dev+NwcBAAA0Om4N3UBN3NzcXM5eVTAMQykpKZo8ebIGDx4sSXrrrbcUGBio9957Tw8++KB27NihtLQ0rV27Vt26dZMkvfHGG4qMjNSPP/6ojh07atGiRTp58qQWLlwou92usLAw/fTTT5o1a5YSExNls9mUkpKi6OhoJSUlSZKSkpKUmZmplJQULV68+H93MAAAQKNx3p/J2rlzp5xOp0JCQnTXXXfpP//5jyRp165dys/PV0xMjFlrt9sVFRWlNWvWSPrtDJTD4TADliRdf/31cjgcLjVRUVGy2+1mTZ8+fbR//37t3r3brKm8n4qaijnOpqSkRMXFxS4LAAC4OJzXIatbt256++239cUXX+iNN95Qfn6+unfvrkOHDik/P1+SFBgY6LJNYGCgOZafn6+AgIAq8wYEBLjUVDdHxdi5airGzyY5Odm8F8zhcCg4OLi2Xx0AADRy53XI6tu3r+644w517txZN998sz777DNJv10WrGCz2Vy2MQzDZd2Z47Wpqbjpvaaa6uauLCkpSUVFReayd+/ec9YDAIALx3kdss7k5eWlzp07a+fOneZ9WmeeTSooKDDPOgUFBenAgQNV5vnll19caqqbQ1KNNWee3TqT3W6Xj4+PywIAAC4OjSpklZSUaMeOHWrZsqVCQkIUFBSkjIwMc7y0tFSZmf8fe2cel1P6///X3aq9ZCdtBkWNsleyhdDIvlSoMLKkwoiZMUjWMZNlGIxRtpF9xpooQlosKUtIRRgyZa/Q8v794df5dneH7nPuk/S5no/HeajrPvfrXE73fc77XNf7er1jYGdnBwDo3LkzXrx4gcTERG6fhIQEvHjxQmqfM2fO4N27d9w+kZGRaNSoEUxMTLh9yh6ndJ9SDQaDwWAwGIzyVOsga+bMmYiJiUFmZiYSEhIwdOhQvHz5EmPHjoVEIoG/vz8WL16MAwcO4Nq1a/D09ISmpibc3NwAABYWFnB2dsaECRMQHx+P+Ph4TJgwAS4uLmjRogWA9xYP6urq8PT0xLVr13DgwAEsXryYW1kIAH5+foiMjMSyZctw8+ZNLFu2DCdPnoS/v/9nOzcMBoPBYDCqN9XawuHBgwcYNWoUcnJyULduXXTq1Anx8fEwNjYGAMyaNQsFBQWYPHkynj17ho4dOyIyMhI6Ojqcxo4dOzBt2jRudeCAAQPw22+/ca/r6enhxIkTmDJlCtq1awcDAwNMnz4d06dP5/axs7NDeHg4fvzxR8ydOxfm5ubYtWuX1KpFBoPBYDAYjLJU6yArPDz8o69LJBLMnz8f8+fP/1iG9OsAACAASURBVOA+tWvXxvbt2z+qY2VlhTNnznx0n6FDh2Lo0KEf3YfBYDAYDAajlGo9XchgMBgMBoPxpcKCLAaDwWAwGAwRYEEWg8FgMBgMhgiwIIvBYDAYDAZDBFiQxWAwGAwGgyECLMhiMBgMBoPBEAEWZDEYDAaDwWCIAAuyGAwGg8FgMESABVkMBoPBYDAYIsCCLAaDwWAwGAwRYEEWg8FgMBgMhgiwIIvBYDAYDAZDBFiQxWAwGAwGgyECLMhiMBgMBoPBEAEWZDEYDAaDwWCIAAuyGAwGg8FgMESABVkMBoPBYDAYIsCCLAaDwWAwGAwRYEEWg8FgMBgMhgiwIIvBYDAYDAZDBFiQxWAwGAwGgyECLMhiMBgMBoPBEAEWZDEYDAaDwWCIAAuyGAwGg8FgMESABVkMBoPBYDAYIsCCLAaDwWAwGAwRYEEWg8FgMBgMhgiwIIvBYDAYDAZDBFiQxWAwGAwGgyECLMhiMBgMBoPBEAEWZMnJunXrYGpqilq1aqFt27Y4e/bs5+4Sg8FgMBiMaggLsuRg165d8Pf3xw8//ICkpCR06dIFffv2RVZW1ufuGoPBYDAYjGoGC7Lk4Ndff8W4ceMwfvx4WFhYYOXKlTAyMsLvv//+ubvGYDAYDAajmsGCrEry7t07XLp0Cb1795Zq7927N86fP/+ZesVgMBgMBqO6ovK5O/ClkJOTg+LiYtSvX1+qvX79+nj8+HGF73n79i3evn3L/f7ixQsAwMuXL0Xp45u81wrRKd8/RemKqV3ROf0Stdm5rhna7O/IzvXHdL9U7S/1XCtSl4jkeyMxKsXDhw8JAJ0/f16qPTg4mFq0aFHhe+bNm0cA2MY2trGNbWxjWw3Y7t+/L1fswEayKkmdOnWgrKwsM2r15MkTmdGtUubMmYPp06dzv5eUlODp06cwNDSERCIRtb8V8fLlSxgZGeH+/fvQ1dWt9rpMu2q1v8Q+f6naX2KfmXbV6TLtqtOtLESEV69eoVGjRnK9jwVZlURNTQ1t27bFiRMnMGjQIK79xIkTcHV1rfA96urqUFdXl2rT19cXtZ+VQVdXV5QPqVi6TLtqtb/EPn+p2l9in5l21eky7arTrQx6enpyv4cFWXIwffp0jB49Gu3atUPnzp2xceNGZGVlwcfH53N3jcFgMBgMRjWDBVlyMGLECOTm5iIoKAiPHj1C69atcfToURgbG3/urjEYDAaDwahmKM+fP3/+5+7El0T79u3h7++PuXPnYuLEiV9cgKWsrIxu3bpBRUWx8bVYuky7arW/xD5/qdpfYp+ZdtXpMu2q0xUTCZG86xEZDAaDwWAwGJ+CmZEyGAwGg8FgiAALshgMBoPBYDBEgAVZDAaDwWAwGCLAgiwGg8H4grl///4HX4uPjxek/e7duw++lpOTI0j7c1FQUPC5u1BlFBUVYcGCBR/9jFRH7ZoEC7JqMHl5eZ+7C3ITERGBc+fOcb+vXbsWbdq0gZubG549eyZYPz09HT/++CNGjRqFJ0+ecMe8fv26YO2q4M2bN8jPz5fa/te4fPkyrl69yv3+zz//YODAgfj+++8/GhTUVHr16oXc3FyZ9tjYWDg7OwvSHj58OEpKSmTas7Oz0a1bN0HaAHDv3j1s3boVK1aswPLly6U2IUyZMqXC9ry8PPTt21eQtlgEBQVV+H0uKChAUFAQL00VFRX8/PPPKC4uFtq9KtWuUfCr5Mf4EtDS0iIvLy86e/asQnWLiopo06ZNNGrUKOrZsyd1795dahNC69at6ciRI0RElJKSQurq6jRnzhzq2LEjeXp6CtI+ffo0aWhokJOTE6mpqVF6ejoRES1btoyGDBnCW/fx48fk4eFBDRs2JGVlZVJSUpLahHL37l0aMGAA6ejoyGgrQv9Lo127drR3714iIkpPT6datWrRqFGjqFmzZuTn5/eZe/dhEhMTKT4+XqY9Pj6eLly4wFt3/PjxZGtrSy9fvuTaYmJiSFdXl3799VfeukREHTp0kPnePXr0iFq2bCnoO0NEFBYWRqqqqqSvr08tWrSgli1bcpuFhYUg7WbNmtEPP/wg1fb69WtycHAgBwcHQdpioaSkRNnZ2TLtOTk5gr7nrq6uFBoaKqBnn0e7pvDlmE0w5Gbnzp0ICwtDz549YWxsDG9vb4wZM0bu2kvl8fPzQ1hYGPr374/WrVsrtA5jZmYmLC0tAQD79u2Di4sLFi9ejMuXL6Nfv36CtGfPno3g4GBMnz4dOjo6XHv37t2xatUq3rqenp7IysrC3Llz0bBhQ4XXpXR3d0dhYSF+//131K9fX5S6l+np6QgNDUV6ejpWrVqFevXqISIiAkZGRmjVqhUvzaioKPTs2bPC13777TdMnTqVl+7t27fRpk0bAMCePXvg6OiIv/76C7GxsRg5ciRWrlwpt+bLly8rvS/fkh5TpkzBrFmz0LFjR6n2hw8fYtmyZUhISOClu3HjRgwbNgz9+/dHZGQk4uLiMGDAAAQHB8PPz4+XZilHjx6Fo6MjAgICEBISgocPH6JHjx74+uuvER4eLkh7/vz5mDt3Ln788UeFf6YjIyPh4OAAQ0NDBAQE4NWrV+jTpw9UVFRw7NgxhR0nPz8fWVlZMiOo1tbWcmsRUYXnITk5GbVr1+bdx759+2LOnDm4du0a2rZtCy0tLanXBwwYUC21awyfO8pjiE9OTg79+uuvZG1tTSoqKtS/f3/at28fFRYW8tIzNDTkRpsUjYGBAV2/fp2IiOzt7WnDhg1ERJSZmUkaGhqCtLW0tCgjI4OIiLS1tbmRrMzMTFJXV+etq62tTUlJSYL69jG0tLQoNTVVNH2xRvj09PQoMTFRpj0kJIR0dHR46+ro6NDt27eJiMjJyYlWrlxJRET37t2jWrVq8dKUSCQVjhIqcuRQS0uLO7dlycjIIG1tbd66RETv3r2jXr16kZ2dHWlra9OaNWsE6ZXl/v37ZGxsTP7+/vTVV1/RiBEjqKioSLBu2e+gGFy9epUMDQ1p5cqV1KlTJ+ratSu9fv1aIdpPnjyh/v37K+Qzoq+vTwYGBqSkpMT9XLrp6uqSkpISTZ48mXdfJRLJBzehI+FiapdSUlJCu3fvpkmTJtGQIUNo0KBBUlt1h41k/Q9Q+jQXEBCANWvW4LvvvsPRo0dRp04d+Pj4YPbs2dDU1Ky0npqaGpo1ayZKXx0cHDB9+nTY29sjMTERu3btAvB+9KJJkyaCtPX19fHo0SOYmppKtSclJaFx48a8dY2MjEAievq2bdsW//77L1q2bCmKvlgjfCEhIejXrx9iYmK40ckVK1Zg4cKFOHLkCG/ddu3aITg4GE5OToiJicHvv/8O4P0oaP369Xlpnjp1ivv57t27mD17Njw9PdG5c2cAQFxcHLZs2YIlS5bw7re6ujqys7NhZmYm1f7o0SO5HaxTUlJk2ubNm4dRo0bBw8MDjo6O3D58RlXK0qRJE5w4cQIODg7o1asXtm3bppCRp8GDB+P06dMy50NRtG7dGocPH4aTkxM6duyIw4cPQ0NDQyHa/v7+ePbsGeLj49G9e3ccOHAA2dnZCA4Oxi+//CKX1sqVK0FE8Pb2xoIFC6SKEKupqcHExIT7HPKhopw6RSGmdil+fn7YuHEjunfvLtpIvqh87iiPIT6PHj2iZcuWUcuWLUlTU5Pc3d0pOjqatm/fTq1bt6ZevXrJpbdixQqaPHkylZSUKLyv9+7do/79+5O1tTVt2rSJa/f39ydfX19B2t999x05ODjQo0ePSEdHh9LS0ujcuXNkZmZG8+fP5617/Phx6t27N2VmZgrq34dIS0ujnj170vbt2+nKlSt0/fp1qU0oYo3wERH9/PPP1LhxY8rMzKSlS5eSrq4uxcbGCtJMTk6m1q1bk66urtTfberUqTRq1ChB2kREPXr0oL/++kumfceOHdS1a1feuiNGjKCuXbvS8+fPubZnz55R165dadiwYXJplY4UlB85KP8zn9GE8qMppZu6ujrp6upKtQlhxYoVVK9ePZo4cSL99ttvtGHDBqlNXtq0aUM2NjYyW+3atally5ZSbUJp0KABJSQkENH7kdVbt24REdE///xD9vb2vDRPnz7Ne3ahshQUFHxx2gYGBqLNnFQFrKxODWb//v0IDQ3F8ePHYWlpifHjx8PDwwP6+vrcPtevX4eNjY1cq7IGDRqEU6dOoXbt2mjVqhVUVVVljlsdKSwshKenJ8LDw0FEUFFRQXFxMdzc3BAWFgZlZWVeugYGBsjPz0dRURE0NTVlzsfTp08F9TsxMRHu7u5IT0/n2iQSCZfDIXR1T5MmTbB7927Y2dlBR0cHycnJMDMzw4EDBzBz5kyp4/Jhzpw5+OOPP1BcXIyIiAiZnCR5KC4uxrlz52BlZSWTp/LmzRsoKyvLnH950dTURHJyMr766iup9tJcML4rOh8+fAhHR0fk5ubCxsYGAHDlyhXUr18fJ06cgJGRUaW17t27V+l95a2vumXLlkrvO3bsWLm0y9KwYcMPviaRSPDvv//KpbdgwYJK7ztv3jy5tMujq6uLlJQUmJiYwMTEBDt27IC9vT0yMzPRqlUrXp+Ry5cvQ1VVFVZWVgDer5oNDQ2FpaUl5s+fDzU1NV59LS4uxuLFi7F+/XpkZ2fj9u3bMDMzw9y5c2FiYoJx48bx0hVbuxRTU1McO3ZMtJF8sWHThTUYLy8vjBw5ErGxsWjfvn2F+5iZmeGHH36QS1dfXx+DBg1SRBdl6NatG7y9vTFs2DCFDe2Xoqqqih07diAoKAhJSUkoKSmBjY2NzM1UXvgkWsuDt7c3WrVqhbCwMFGGy93c3BAYGIg9e/ZAIpGgpKQEsbGxmDlzJsaMGSOX1urVq2XaGjZsCE1NTTg6OiIhIYFL8J42bZrcfVVWVkafPn2QmpoqE2TVqlVLbr2KMDIywvr162WmfTZs2CBXIFSexo0bIyUlBTt27EBycjI0NDTg5eWFUaNGyR0YilmYvjRwKioqwo4dO9CnTx80aNBA4cd59OiRQvWEBk7y0KJFC9y6dQsmJiZo06YNNmzYABMTE6xfv/6jwePHmDhxImbPng0rKytkZGRgxIgRGDx4MPbs2YP8/Hze15lFixZhy5YtWL58OSZMmMC1W1lZISQkRFAgJKZ2KfPnz8eCBQuwefNmhd8TqgI2klWDyc/PlyvXqjowY8YM7NixAwUFBRg+fDjGjRuHTp06fe5ufVa0tLSQnJwsWh6cIkf4yue7fQiJRIKMjAxe/W3fvj2WLl36wZWLQjl69CiGDBkCc3Nz7rMXHx+P9PR07Nu3T/AqV0Vw8OBB9O3bF6qqqjh48OBH9xWywktTUxOpqamiBnVi8u7dOzx58kQmd6hp06aCdHfs2MF9b5KSktCnTx/k5uZCTU0NYWFhGDFihNyaenp6uHz5MszNzbFs2TJER0fj+PHj3KpZvqafzZo1w4YNG9CzZ0+pkeqbN2+ic+fOgvwHxdQuJT8/H4MHD0ZsbCxMTExkHkguX74s+BhiwkayajBlA6yCggIUFhZKvc53KXop//33H27dugWJRILmzZujbt26gvQA4JdffsHy5ctx+PBhhIaGwtHREc2aNYO3tzdGjx7NO7EZeD+0HRYWhqioqAovvNHR0YK0//77b6SmpkIikcDS0hIDBgzgPQVZlm7duuHq1auiBVmlI3wLFy7E5cuXBY3wZWZmitBDaRYtWoSZM2di4cKFFS4bF/q57tevH9LS0rBu3TrcvHkTRARXV1f4+PjIPZIlVjA0cOBAPH78GPXq1cPAgQM/uJ/Q6eSOHTsiKSlJYUHW999/jx9//BGampr4/vvvP7rv4sWLeR/n9u3bGDduHM6fPy/Vrqgpdnd3d+5nGxsb3L17Fzdv3kTTpk1Rp04dXppExF2TTp48CRcXFwDvR1aFuOs/fPiwwmtHSUmJzD2hOmmX4unpiUuXLsHDw+OLTHxnQVYNJi8vD4GBgdi9e3eFjtB8LzR5eXnw9fXF1q1buYuCsrIyxowZgzVr1ggePVNWVoarqytcXV3x33//YcOGDZg7dy6+//579OvXD9OmTUOPHj3k1hXL3+vOnTvo168fHj58iBYtWoCIcPv2bRgZGeHIkSMwNzcXpD9o0CAEBATg+vXrsLKyknmSU9TIipmZGczMzFBcXIyrV6/i2bNnMDAw4KVVWFiIFi1a4PDhw9zKQkVR6mI+YMAAqb+hom6gwPs8NSE3+VLECobKPiCIucJr8uTJmDFjBh48eFBhQCvvysVTp05h1qxZ0NTUlFrRWR6h300vLy+oqKjg8OHDonjXlUdTUxO2traCNMRYNQsArVq1wtmzZ2UC5T179nC5gdVRu5QjR47g+PHjcHBwUIhelfN58u0ZVcHkyZPJwsKC9uzZQxoaGrR582ZauHAhNWnShLZv385b99tvvyUzMzM6evQovXjxgl68eEFHjhwhc3Nz8vHxUVj/ExISyMfHh/T09Khp06b0008/0YQJE0hTU5NmzJght55Y/l59+/YlZ2dnys3N5dpycnLI2dmZ+vXrJ1hfbC8aPz8/biVnUVER2dvbk0QiIS0tLTp16hRv3UaNGtGNGzcE9688p0+f/uimKPLy8ig1NZWSk5Oltv8lPvSZU6QPkhhoamqK6i03ZMgQWrJkiUz78uXLaejQobw0xVo1e/DgQdLT06OlS5eSpqYm/fzzzzR+/HhSU1OjyMhI3rpia5fSokWLL/p7x4KsGoyRkRF3kyy1LCAi2rp1K/Xt25e3rqGhYYU33+joaKpTpw5vXSKi7OxsWrFiBbVq1YrU1NRoyJAhdOzYMSm7iBMnTpCWlpbc2g0bNuSWWisSTU1NSklJkWm/cuUKr36Wp6io6KObUBo3bsyVdTlw4AB3nn744Qeys7PjrbtkyRIaO3as6MvSFY0ijSaripMnT9KcOXNo3Lhx5OXlJbUJ4e7dux/dqivt2rVTeDmxstSpU6fC73xKSgrVq1dPoccqKCigd+/eCdKIiIggR0dH0tLSIg0NDbK3t6fjx48rpH9iahMRHT58mPr06SOaRY7YsOnCGszTp0+5RGRdXV3OSsDBwQGTJk3irZufn1/h8HW9evUEFyxu0qQJzM3N4e3tDU9PzwrzvDp06PDB1ZIfY8aMGVi1ahV+++03hU4fqKur49WrVzLtr1+/5r3suiyKyOv6GDk5OdzqsaNHj2L48OFo3rw5xo0bV+FqwcqSkJCAqKgoREZGwsrKSmaqSYjVx9mzZ7FhwwZkZGRgz549aNy4MbZt2wZTU1PB0wqKNJqU5/zxWW0JvLcuCAoKQrt27RQ+NSZ2wntKSgr27t1bYWmav/76i7fusmXLMGvWLCxevLjCKXaheXsf+m6rqqrKVaKpIsRI1u/Tpw/69OkjqF+fQxsAPDw8kJ+fD3Nzc1EscsSGBVk1GDMzM9y9exfGxsawtLTE7t270aFDBxw6dEjKK0teOnfujHnz5mHr1q3csvmCggIsWLBAkDMx8L7eXZcuXT66j66u7kfzOT7EuXPncOrUKRw7dkyh/l4uLi749ttv8eeff6JDhw4A3gcYPj4+CqvdVVBQgLNnz1Z4M5o8ebIg7fr16+PGjRto2LAhIiIisG7dOgDvg2khAZ6+vj6GDBkiqG8VsW/fPowePRru7u64fPky3r59CwB49eoVFi9ejKNHjwrSj46Oxj///IP27dtDSUkJxsbG6NWrF3R1dbFkyRL079+/0lohISGV2k8ikfAOstavX4+wsDCMHj2a1/srw40bNyr87An5fO/fvx8jR46Eo6Mjzp49i65duyItLQ3Pnj0TnGfo5OQEADIrUElBeXutW7fGrl278NNPP0m1h4eH885BFCtZ39PTE97e3nB0dOT1/spw8eJFbtGPhYUF2rZtqzBtsS1yxIYFWTUYLy8vJCcno2vXrpgzZw769++PNWvWoKioCL/++itv3VWrVsHZ2RlNmjTB119/DYlEgitXrqBWrVo4fvy4oD536dIFRUVFOH36NNLT0+Hm5gYdHR38+++/0NXVhba2Nm9tsfy9Vq9ejbFjx6Jz585c4FZUVIQBAwYIKktTSnJyMvr164cXL17gzZs30NXVxfPnz6GhoQFDQ0PBQZaXlxeGDx/OjYL06tULwPtAUYgBYGhoqKB+fYjg4GCsX78eY8aMkSpSbGdnh6CgIMH6eXl5qFevHgCgdu3a+O+//9C8eXNYWVnJvVy8KlZbvnv3DnZ2dqJoZ2RkYNCgQbh69SpngAv8X2K6kGAlKCgIy5cvh7+/P3R0dLB+/Xo0bdoU48ePF+xdx+chTB7mzp2LIUOGID09nVuEExUVhZ07d2LPnj28NMVK1n/16hV69+4NIyMjeHl5YezYsYLKiJXlwYMHGDVqFGJjY7kH9+fPn8POzg47d+4U5CtXihDD2+oA88n6HyIrKwsXL16Eubk5vv76a0FaBQUF2L59O7fE3dLSEu7u7oLN4u7duwdnZ2dkZWXh7du3nIOwv78/3rx5g/Xr1wvSF5M7d+4gNTWVOx+Kslzo0aMHTE1NsWHDBhgYGCA5ORkSiQRjx47F9OnTP7pqrbLs3bsX9+/fx7Bhw7gakVu2bIG+vj5cXV3l0tq/f79cS84/tfKuPJqamrhx4wZMTEykvHkyMjJgaWmJN2/eyNXf8rRv3x7BwcHo06cPBg4cyI1grV69Gnv37hXsgA9AJlgRQmBgILS1tTF37lzBWuX55ptvoKysjD/++ANmZmZITExEbm4uZsyYgRUrVnxy1PljaGlp4dq1azA1NYWhoSFOnz4NKysr3LhxA7169cLDhw8V+D9RPEeOHMHixYtx5coVaGhowNraGvPmzUPXrl156WlpaeHSpUuiOJvn5uZi+/btCAsLw7Vr1+Dk5IRx48bB1dVVUIWE3r174+XLl9iyZQtatGgBALh16xa8vb2hpaWFyMhIhfQ/PT0doaGhSE9Px6pVq1CvXj1ERETAyMgIrVq1UsgxxIIFWYxqxcCBA6Gjo4M///wThoaG3A00JiYG48ePR1pa2ufu4icptUAwNjbmbYFQFn19fcTHx6Nly5bQ19dHXFwcLCwsEBcXB29vb6Smpiqg14rD1tYW/v7+lS6avXbtWiQmJlZa39zcHBs2bICTk5NUkLV161YsXboUN27c4Nt1AOIYTZby559/IiQkhPscf/XVV/D398f48eN5a/r5+WHr1q2wtraGtbW1zE1TyKh1nTp1EB0dDWtra+jp6SExMREtWrRAdHQ0ZsyYgaSkJN7aTZo0wbFjx2BlZQVra2v8+OOPGD58OBITE+Hk5CQot+nMmTMffV3MqTO+tG/fHiEhIaJbFSQlJWHz5s3YtGkTtLW14eHhgcmTJ/MaPdTQ0MD58+dl7BouX74Me3t7FBQUCO5vTEwM+vbtC3t7e5w5cwapqakwMzPD8uXLkZiYiL179wo+hpiw6cIaRlUk2gLAtm3buMTjuLg4GBsbIyQkBGZmZnKPfJTl3LlziI2NlUkqNTY25vVka2tri6ioKBgYGMDGxuajIwd8nYP9/f1hZWWFcePGobi4GF27dsX58+ehqamJw4cPo1u3brx0S1FRUYGKyvuvav369ZGVlQULCwvUrl1brhp2H+JTU2zl804+BRHJVY7nt99+k0t/4sSJ8PPzw+bNm7kad3FxcZg5c6bcfa0IMYwmgfdTTCEhIfD19eVyF+Pi4hAQEIC7d+8iODiYl25KSgratGkDALh27ZrUa0JHyoqLi7kp+jp16uDff/9FixYtYGxsjFu3bgnStre3x6lTp2BlZYWhQ4fCz88PZ8+eRUREhODvTEXvL3suFOGlpmjETtYH3pcyioyMRGRkJJSVldGvXz9cv34dlpaWWL58OQICAuTSa9q0aYWmo0VFRQqbkpw9ezaCg4Mxffp06OjocO3du3dXSDqG2LAgq4ZRFYm2v//+O3766Sf4+/sjODiYu2AZGBhg5cqVgoKskpKSCi+ADx48kPqCVRZXV1eoq6sDgEKm1Spi79698PDwAAAcOnQIGRkZuHnzJrZu3YoffvgBsbGxgvRtbGxw4cIFNGvWDF27dsX8+fPx/PlzbN26Fa1btxbc/wMHDkj9XlhYiMzMTKioqMDc3FzuwEXeG7u8+8+aNQsvXrxA9+7d8ebNGzg6OkJdXR0zZ87E1KlT5dL6GO/evUNmZibMzc0FG00C7783f/zxB0aNGsW1DRgwANbW1vD19eUdZImZf9S6dWukpKTAzMwMHTt2xPLly6GmpoaNGzfCzMxMkPaaNWu4kY7S+qnnzp1Dr169BOfWlS/nUlhYiKSkJMydOxeLFi3ipVm7dm3cvn0bderUgYGBwUc/t3xWvImVrF9YWIiDBw8iNDQUkZGRsLa2RkBAANzd3blranh4OCZNmiR3kLV8+XL4+vpi7dq1aNu2LSQSCS5evAg/Pz+sWLGCV3/Lc/Xq1QpXmtatW7dCk+1qx2cxjmB80VhYWNCBAweIiEhbW5vS09OJiOjq1atkaGgoSHv48OE0YcIETjsjI4NevXpFPXr0IE9PT2EdFwl1dXW6f/8+ERFNmDCB/Pz8iIgoIyODdHR0BOsnJCTQyZMniei9j1ivXr1IQ0ODrKys6NKlS4L1K+LFixc0aNAg2rp1q9zvtbGxkWv/9u3by30MovdmoRcuXKCEhAR69eoVL40P6Xp7e5OysjIpKytzn29fX98KDSgri76+Pt2+fVum/datW6Snp8dbV0wiIiJo3759RESUnp5OFhYWJJFIqE6dOhQVFcVbt7CwkMLDwyk7O1tRXa0UMTExZGtry+u9YWFh9ObNG+7nj218EMtk19DQkAwMDGjy5MmUlJRU4T5Pnz4lExOTSunp6+uTgYEBt6mpqZGSkhKpqalJ/WxgYMC7z2Vp3LgxxcbGEpH0/Wb//v1kZmamwkuj2AAAIABJREFUkGOICcvJ+h+BFJhoq6GhgZs3b8LY2FgqJyYtLQ3W1taC5uH//fdfdO/eHcrKykhLS0O7du2QlpaGOnXq4MyZM9yqLyEo2ofG2NgYf/zxB3r27AlTU1OsW7cOLi4uuH79OhwcHBRSJPVzcO3aNbi4uODu3btyvc/W1lauqdcOHTrIlZMlNn5+foiNjcXKlSvh7OzMjeQcPHgQ8+bN452H5OvrC1VVVZkcqZkzZ6KgoABr167lpZuXl4elS5d+sCYn30LcH+Lp06efHMmpDGWvI1VFamoq2rdvj9evX1fZMT8327Ztw7Bhwzi7HaFs2bKl0vsqYmXgrFmzEBcXhz179qB58+a4fPkysrOzMWbMGIwZMwbz5s0TfAwxYdOFNRwxEm1NTU1x5coVmYvjsWPHBNepa9SoEa5cuYLw8HBcunQJJSUlGDdunEJWLorlQyOWBUIpO3fulJpiKsucOXOwZMkSwceoiOfPn+PFixdyv4+IPpl4XHbfyjznDR48uNLHF2JyCgB///03du3ahU6dOkkFEpaWlnKvLJw+fTr3s0QiwaZNmxAZGYlOnToBAOLj43H//n25ctjKM378eMTExGD06NEKXfp/7949REZGorCwEF27duVWcdWuXVsh+u3bt0dKSoooQVZKSorU70SER48eYenSpbxXVsuTiF/Z/KmUlBS0bt0aSkpKMn0uj7x1IktRtH9aVVsqLFq0CJ6enmjcuDG3cru4uBhubm748ccfq7QvfGBBVg1GrETb7777DlOmTMGbN29AREhMTMTOnTuxZMkSbNq0iZfmw4cPuURJDQ0NeHl5wcvLS2qfHTt2SCUly4tYPjTz589H69atOQuE0hwwZWVlzJ49W7D+pEmToK+vj759+0q1f/fdd9i2bZvgIKv8YonSG9K2bdu4Yszy4O3tjWPHjlV6f09Pz0/uo6enJ3c/+PLff/9VOGKal5cn92em/KhXqUljabBWt25d1K1bF9evX+fZ2/cPN0eOHIG9vT1vjfKcOXMG/fr14yo4qKioYMuWLR8M9vkQEBCAmTNnIjs7u8Li082bN+et3aZNGylfr1I6deqEzZs389LU19f/5N9f3ge2Nm3acAXEP9RnQP4C4uW5cOEC9uzZU6GhrNCHErHtFVRVVbFjxw4EBQUhKSkJJSUlsLGxEeylVmV8jjlKRtVgaGhIf/31l0z7X3/9JTh3auPGjdS0aVOuaGyTJk24IsN8sLCwoKdPn37w9R07dpCqqipvfSLxi8aKxeHDh0lPT4/OnTvHtfn7+1ODBg3o+vXrgvVNTEykNjMzM+rYsSPNmTOHXr58KbdeYWEhvX37ttJbdatt6OjoSKtXryai/8sLJCKaMmUK9enT53N2rUJMTEwUXojb0dGRXFxc6OHDh/T06VOaOHEiNWnSRKHHqKjwtKKKT5evsZiVlUUFBQWCND+VM8Unf+ru3btcXVax6kTu3LmTVFVVqX///qSmpkYuLi7UokUL0tPTE5znevr0adLQ0CAnJydSU1Pj8qWWLVtGQ4YMEaRdU2A5WTUYAwMDJCYmykT8t2/fRocOHfD8+XPBx8jJyUFJSYngXKlu3bqhoKAA0dHRMk+04eHhGDNmDJYtWyb36peyiOlDExUV9cGcGL5PzmXZsWMHpk2bhpMnT2Lz5s3Yu3cvoqOjYWFhIVhb0dja2la6bBMRIT8/HwkJCSL3qvKcP38ezs7OcHd3R1hYGCZOnIjr168jLi4OMTExCi0Zogi2b9+Of/75B1u2bIGmpqZCNGvXro0zZ85wq1fz8vKgq6uLnJwchXi/AfikBUSpuaW8EBHu3LmDwsJCNG/enLM/+V/F2toaEydOxJQpU7gcWlNTU0ycOBENGzbEggULeGt37twZw4YN4+wVSvNzL1y4gIEDByrEULa4uBhhYWEfvL5GR0cLPoaY/G9/+mo4Hh4e+P3332USbTdu3Cho2q0sZX2DkpOTYWtry2tYu9RPytXVFceOHeM8Ynbv3o0xY8Zg8eLFvAKssnkUYvnQiFmgtxR3d3c8e/YMdnZ2MDQ0RExMjKDpFOD9tF5lkDdIJCK5LnyVKfb9KY+zsvD1OyvFzs4OsbGxWLFiBczNzREZGQlbW1vExcXBysqKt2737t0/+n+Q55yVPx937txB/fr1YWJiIvO55nM+nj9/LvXgpKWlBU1NTTx//lxwkOXt7Y1Vq1bxDqI+xt27d+Hq6sr5hRkZGWHfvn0KCYw/lTNVFr75U4Di60Smp6dz9TbV1dW5ae+AgAD06NFDUJBVFfYKfn5+CAsLQ//+/dG6dWtRrq9iwoKsGs6ff/75wUTbskm5Qlyhy8J3YFRbWxvHjh2Do6MjRo4cib1793L+UwsXLsTMmTN56ZbPoyAihfvQiFGgd9asWRW2161bF23btpXKfVu+fDmvY4SFhcHY2Bg2Nja8/24VIYZPllgeZx/CyspKrlVUlaHUMLSUwsJCXLlyBdeuXZM7mbgqzseNGzfw+PFj7nciQmpqKl69esW18QkmtmzZgqVLl/LyvfsUgYGBePPmDbZt24ZatWrh559/xqRJkxSyevVjOVNl4XstEatOZO3atbm/WePGjXHt2jVYWVnh+fPnXM4dX/T19fHo0SOYmppKtSclJSnMjDQ8PBy7d+8WXDT8c8GCrBrMtWvXOBPF8om2ZZ2hFflkIESrbt26iIyMhIODA5ycnHDu3DnMmzcPgYGBvDXFLhQLiFOgNy4ursJ2Y2Nj5OTkcLUBhZxvHx8fhIeHIyMjA97e3vDw8FDYyjFFU9XLtEtKSnDnzp0Kpyf4lmT5kFHw/Pnz5bYUqIrz0bNnT5mAwsXFhQsA+AYTYmaonD17Fjt37uTqB3bo0AHGxsYoKCgQvDpZ7GLffn5+MDU1xcmTJyusE8mXLl264MSJE7CyssLw4cPh5+eH6OhonDhxQuaBU17c3NwQGBiIPXv2QCKRoKSkBLGxsZg5c6agFbNlUVNTU1gd2M/CZ8gDY9RQrly5wjthNTk5mdt27dpF6urqNGLECKn25ORkBfdYMcyaNYuCgoI+dzd48ebNG/rrr7/IycmJNDU1adiwYRQREcEl4/KhqsxIxSIuLo5MTU25JOzyydmKJi0tTZBxo6mpKeXk5Mi0P3v2jExNTXlpfioJW0gytkQioSdPnvB6b2W0Hz9+LNWmpaVFmZmZohxPkRgaGnLXOF1dXbp58yYREUVFRVGbNm146+bm5tLDhw+JiKi4uJiWLVtG33zzDQUEBHx0sVFlePfuHbm5uXHfFVVVVVJSUiIPDw8qKioSpF3KihUraPLkyYKuSZ8TNpLFqDSf8okpO40gL2WH4kv/3b17N/bs2SM1bC5kGXNoaCi0tbUxbNgwqfY9e/YgPz+ft//LmzdvsHHjRpw8eVLhBXrFRl1dHaNGjcKoUaNw7949hIWFYfLkySgsLMSNGze4unWfG7FLmpTFx8cH7dq1w5EjR0TLsStLXFycIKPIu3fvVvi9ePv2LR48eMBLU2yD0ObNm3/yvPL5O0okEigpKUm1KSkpiTZ6psj8KbHqRJYdnVZSUsKsWbM+mI4gL1Vhr3Du3DmcOnUKx44dQ6tWrWSur0ItKMSGBVk1DDFNGz/lE1MaIPFB7KF4AFi6dCnWr18v016vXj18++23vIMsMQv0lpKUlPRBn5vdu3cr5BgSiYQLcMtPkclD7dq1YWdnV+kbm6Gh4Sf3CQkJ4XJ4Vq5cybtvlSEtLQ179+5V+BRF+e8m/X8/sosXL2Lu3Lly6x08eJD7+fjx41JeYsXFxYiKipLJlakuLFiwQBTvMyKSCeBev34NGxsbqeBLaCAuRv6UmHUixcbc3Bzm5uaiaOvr62PQoEGiaFcFLMiqYZS9cBERDhw4AD09PbRr1w4AcOnSJTx//lyuYKwUMfObqqK0xr179yq86RgbGyMrK4u3rth5X3v27IG7uzt69OiBU6dOoUePHkhLS0NOTg7vFUelvH37Fvv378fmzZtx7tw5uLi44LfffoOzs7PMiEBlOXnypKA+VcTYsWNRWFjI/fwhyge5fOjYsSPu3Lmj8CCrfFChpKSEFi1aICgoCL1795ZbrzT5XSKRyJwTVVVVmJiY4JdffuHfYREZOXKkQkpklSc0NFThmhUhRv7Ujz/+iLy8PABAcHAwXFxc0KVLFxgaGmLXrl1y6ykrK1dqP3kDwunTp2PhwoXQ0tKSWjxVEYoYxa+qv6lYsCCrhlH2AxkYGIjhw4dj/fr13BeuuLgYkydP5mVXUJpM+qVSr149pKSkwMTERKo9OTm5UqMpn4vg4GD88ssv8PX1hY6ODtauXQsTExNMmDBBUHA6efJkhIeHo2nTpvDy8kJ4eLhCzsP3338vV73DZs2aISgo6JP7jRo1ikuwrYhr166hZ8+eyM7OrvSxSym7PN/X1xczZszA48ePK7T64Ls8X9E3i9LRRlNTU1y4cEHKTqU6I+b0a1WVfImLi0N0dDTq1q0LJSUlKCkpwcHBAUuWLMG0adN41bfs06cP97OZmRlu3LghqE4kEcHY2Bhjx46FjY2N3O//EElJSdwDz8f+n1+a1YJYMDPSGkzdunVx7tw5GT+aW7duwc7OTmE+Jl8Ks2bNwu7duxEaGsqtEIuJiYG3tzeGDh3K+wlU7AK9WlpauHbtGkxNTWFoaIjTp0/DysoKN27cgJOTE/79919eukpKSmjatOknPajknVa2tbXFgQMHKrUvEWH48OGVWmJvZGSEvn37YuPGjTKvXb9+HT169ICjoyP27NkjV3+B9+fiY8vzha6oK8vFixeRmpoKiUQCCwuLamduKjZKSkpcKZkvFQMDA1y6dAlmZmYwNzfHpk2b0L17d6Snp8PKykqwNYIiuHDhAjZv3ozw8HCYmprC29sb7u7uCjOTFRNbW1tERUXBwMDgk9cnob54YsNGsmowRUVFSE1NlQmyUlNTBeXcfKkEBwfj3r176NmzJ+cCXVJSwpmd8kWsAr2lGBgYcEv8mzRpghs3bsDKygovX76Ue+l/WcaMGSPK02bpE7Q8+1eGyMhIODo6onbt2li6dCnXnpqaip49e8Le3h7h4eFy9xeompzABw8eYNSoUYiNjeUc8Z8/fw47Ozvs3LkTRkZGcun169cPO3fu5KYhFy1ahClTpnDaubm56NKlC27cuKHY/4hAasK1R4z8qUGDBlX4fZRIJKhVqxaaNWsGNze3Spu4tm/fnqtysXfvXoSGhiIwMBDffPMNxo0bxxWyr464urpyNWCr2iNP4VTxakZGFRIQEEAGBgb0888/09mzZ+ns2bP0888/k6GhIQUEBHzu7n02bt26Rbt376ZDhw4JqglWSvm6gopm5MiRFBISQkRECxcupPr165OPjw+ZmpqSq6uraMfli5gWDomJiaSjo0PLli0jIqLU1FRq0KABDRgwQGFLxsWiV69e1LFjR25pPhHRzZs3yc7Ojnr16iW3npKSEmVnZ3O/6+jocLXjiIgeP34s2HLi8ePH5OHhQQ0bNiRlZWWuvmDp9r9KREQE7du3j4iI0tPTycLCgiQSCdWpU4dOnjzJS3Ps2LGkp6dHxsbGNHjwYBo0aBCZmJiQvr4+DR8+nFq0aEHq6uqCrjUZGRnUvXt3UlJSotzcXN46RETR0dG0YsUKrj/r168nIyMjqlOnDo0fP57y8/MF6dcUWJBVgyn1RGnUqBHn89OoUSNatmyZ3Dek5ORkKi4uFqmn/8e2bds++NrMmTNFPz4fxCjQW5b//vuPsrKyiIioqKiIFi1aRH379iVfX98K/ZE+N2L7ZEVFRZGGhgbNmzePGjVqRC4uLvTu3Tu5ND7FnTt3aOrUqdSzZ09ycnIiX19funPnjiDNWrVq0eXLl2XaL126RLVq1ZJbTyKRSAVZ2traCg+ynJ2dydLSktatW0cHDhygv//+W2pj/B+5ubmCvJwCAwNp0qRJUtfZ4uJimjp1Ks2ZM4dKSkro22+/JXt7e7m179+/TwsXLiRzc3Nq1KgRBQYGCirMvnHjRlJWViZzc3NSV1enxYsXk5aWFvn4+NDkyZNJV1eXAgMDeet/iFevXtGLFy+ktuoOC7L+RxD6gSz71Pwh80NFoKenR4cOHZJp9/f3pwYNGgjWv3//Pq1du5YCAwMpICBAauPLtm3baOjQoZSXlye4fzWBqjAjPXDgAKmoqFC/fv0UHmBFRESQmpoadejQgQICAsjf3586dOhA6urqFBkZyVu3efPmlJCQINOekJBA5ubmcutVRZClra1NSUlJgjQ+BwsWLKjw+5ifn08LFiwQrO/l5UUvX76UaX/9+jV5eXnx0qxTpw7dunVLpv3WrVtkaGhIREQpKSmkp6dXKb23b99SeHg49erVi2rVqkWDBg2iQ4cOKeRhuVWrVrR69WoiIjp27BipqKhQWFgY9/ru3bt5faYrIiMjg/r160eamppSo6himQMrGpb4zqgUhoaGOHr0KDp27AglJSVkZ2ejbt26Cj9OREQERo4ciYMHD3LJ6b6+vti/fz+ioqLQsmVL3tpRUVEYMGAATE1NcevWLbRu3Rp3794FEcHW1lZwgV4iUliB3vKUlJTg0KFDXMK0paUl+vfvz9tmQUxsbGwq7WtDRDh8+DAuXLjwyX3Lr7J69eoVNDQ0uPy6UoR6INnY2KBPnz5SeV8AMHv2bERGRvL+e/7zzz9YvHgx1q5di7Zt20IikeDixYvw9fVFYGCg3LknysrKePz4Mfc91NHRQUpKCmdTkp2djUaNGglK1Le0tMSOHTsUujqtKlBWVsajR49kkutzc3NRr149wYsXPqSfk5ODBg0aoKioSG5NAwMDbNmyRcaW5eDBgxg7diyePXuGtLQ0dOjQAc+ePfuknqGhIXR0dDB27FiMHj36gwsN+Kw019TURGpqKpd7qaamhuTkZFhYWAAAsrKy8NVXX+Ht27dya5entGSZn58f6tevL5O3Vt1XvbPE9xrGp1ZilEWem8WQIUPQtWtXLrG7Xbt2H/RhEbKaztnZGevXr8fAgQMRGRmJzZs3459//sGpU6fQvHlz3roAMGfOHMyYMQNBQUHQ0dHBvn37UK9ePbi7u8PZ2VkurapMxszIyICLiwsyMzPx1VdfgYhw584dmJmZ4fDhw9XOcHLdunWfrA5QlrJL1z+G2CakpaSmplZo8Ort7S2oD56ensjPz0fHjh25wLCoqAgqKirw9vaGt7c3t29lAkUigqenJ5cg/ObNG/j4+EBLSwsAFHKDW7lyJWbPno0NGzbIWJ9UZ+gDxsjJycmC6nO+fPkS9H4GCK9evZJy6i8uLsbRo0d5r5ocPXo0xo0bh++//x7t27eHRCJBYmIiFi9ezNUBjImJQatWrSql9+zZMzx79gwLFy5EcHCwzOskYLXsmzdvpGpBqqurc5/D0t/5BJoVkZKSgkuXLlU64b+6wYKsGoZYN/+NGzdi8ODBuHPnDqZNm4YJEyZwDtyKZuTIkXj27BkcHBxQt25dxMTEKMQYMjU1FTt37gQAqKiooKCgANra2ggKCoKrqysmTZpUaa2qLFg8bdo0NGnSBDExMdyoxZMnT+Dh4YFp06bh0KFDVdaXylDqHC/P/pWhqjyQ6tatiytXrsiUBrly5Yog2wFFB4nlz4eHh4fMPkKL9I4YMQL5+fkwNzeHpqamzCit0FFDRVM62imRSGSc34uLi/H69Wv4+Pjw1i+telGqXx6JRIIFCxbw0g4JCUH9+vWxfPlyzuutfv36CAgIQGBgIACgd+/elX4gFNMkWSKRcEFmabD2+vVr7uFKnoesT9G+fXvcv3//iw2y2HQhQ268vLywevVqhQVZH3IN3rt3L2xsbKTKNQhxEG7QoAGio6NhaWmJVq1aYcmSJRgwYACSk5Nhb28vyA4BeO+mX3Y6T1FTLNra2jh//ryMCWZycjIcHBwE1YwUA1tbWwwcOLDS1gxHjhyplE9WVREUFISQkBDMnj0bdnZ2kEgkOHfuHJYtW4YZM2bgxx9//NxdrDK2bNny0derKvCtLFu2bAERcaOOZV321dTUYGJigs6dO/PWj4mJARGhR48e2Ldvn9SomJqaGoyNjdGoUSNB/wfg/4IUPlN5VUGpr1wp5UcOhYySlSc9PR0+Pj7w8PBA69atFWYOXFWwkaz/ARR98w8NDcXz589x8eJFSCQSmJubc948fPiQa7C5uTlevnzJvS7U06lTp06IjY3l8plmzJiBq1evYv/+/ejUqRNv3SdPnmDkyJE4ffo09PX1QUR48eIFunfvjvDwcMG5a6qqqhWaG+bn58tccKoDRISffvqp0vsfPnxYxN7Iz9y5c6Gjo4NffvkFc+bMAQA0atQI8+fPx7Rp0wRpp6enIzQ0FOnp6Vi1ahXq1auHiIgIGBkZVXoaqCqpbkHUxyhb7sXU1BT29vYy+XpCKc3/yczMRNOmTUVzNS8Nrp49e4bt27fjzz//xJUrV0Q5Fh/ELiVWlv/++w/p6enw8vLi2hRpDiw6VZllz6hasrOzqXv37iSRSMjAwID09fVJIpFQjx496MmTJ7w0MzMzqV+/flKeOcrKytS/f3/KzMxU7H9AwaSnp1NycjIREeXl5dGkSZPIysqKBg0aJMgva/jw4dS2bVspG4fr169Tu3btaOTIkYL77e7uTlZWVnTx4kWu7cKFC2RtbU2jR48WrK9oqmJ1YVXx8uXLCleR8eH06dOkoaFBTk5OpKamxq0EXLZsGQ0ZMkQhx1AEZVchl18uX52Xz6uoqNDjx4+JSNZDTAzOnDlD7u7u1LlzZ3rw4AEREW3dupXOnj0rWPvEiRM0cuRIqlWrFjVp0oSmTZsmWPNLxcLCggYPHkzx8fGUmZlJd+/eldqqOyzIqsEo+uaflZVF9evXpyZNmtDixYvpwIEDtH//flq0aBE1adKEGjRoQPfv3xfU5+fPn1dokpebm1vtLuql6OrqUmJiokx7QkJCpZdbf4ynT59Sv379SCKRUK1atahWrVqkpKRELi4u9PTpU8H6iqYmBVmKpFOnTvTLL78QkbTdQmJiIjVq1Ohzdk2KsgFK6TL58lt1XD7frFkz+v777+n06dMkkUjo77//ppiYmAo3oezdu5c0NDRo/PjxpK6uzv0t165dS3379uWlee/ePZo/fz4ZGxuToaEhKSkp0d69ewX39UtHU1OT0tLSPnc3eMOCrBqMom/+Xl5e5OjoSAUFBTKv5efnk6OjI3l7e/PqaynOzs60du1amfbff/+d98VLbD7kJXT58mXS0dFR2HFSU1Np//79tG/fPkpNTVWYrqKpqiDr7du3dPPmTUGmiqXY2NhwAWubNm3IxsbmgxtftLS0KCMjg4ikg6zMzExSV1cX/H9QFKdPn+bO6alTp+j06dMf3KoTBw4coPr163MBYKkBc/lNEcFhmzZtaMuWLUQk/bdMSkqi+vXry6W1a9cu6tWrF2lqatLQoUPp77//prdv35KKigpdv35dcF+/dFxcXL7oYJPlZNVgSkpKKszZUVVV5VU/LCIiArt375ZatlyKhoYGFi5ciJEjR/LqaykJCQkVJrd369YNP/zwAy/NytYS42s90aNHD/j5+WHnzp1c0uvDhw8REBCAnj178tIEgBkzZmDJkiVQU1MDALRs2VKQT1hVQUS4f/9+pRLf6f8vh5eH/Px8+Pr6cknZt2/fhpmZGaZNm4ZGjRph9uzZcve5Kmql6evr49GjRzKWG0lJSWjcuLEox+RDWd8hOzs77vNXnpycnKrqUqUYOHAgBg4ciNevX0NXVxe3bt0SrQj1rVu3OB+/sujq6uL58+dyabm5uWHWrFnYt2+faCu2v2S++eYbBAQE4OrVq7CyspK5p5X3FatusCCrBqPom39ubu5HvXLMzMyQm5vLt7sA3nv7VOSvUlhYiIKCAl6ad+/ehbGxMdzc3ES56P72229wdXWFiYkJjIyMIJFIkJWVBSsrK2zfvp237oEDBxAREYHt27d/UWaQzs7OmDVrVqX3r6xPVilz5sxBcnIyTp8+LbWc3cnJCfPmzeMVZJW15BDLnsPNzQ2BgYHYs2cPJBIJSkpKEBsbi5kzZwq2Wti2bRvWr1+PzMxMxMXFwdjYGCtXroSpqSlcXV156w4fPhz79++XMb3Nzs5Gz549ce3aNUH9FgNtbW2cOnUKpqamCk98L6Vhw4a4c+eOzPXw3LlzcheI9vb2xrp167gi8yNGjICBgYHC+pqXl4elS5ciKioKT548kXnAFuJrWBWUWm4EBQXJvMYS3xmflaysLLKxsSFVVVUyMzMjc3NzUlVVJVtbW165UyYmJhQREfHB148dO0bGxsYCekzUtWtXmjp1qkz75MmTycHBgZfmrl27yNnZWeGlJcoTGRlJq1evplWrVtGJEycE6+Xl5dHkyZNJXV2dgoKCqqR25JdA06ZNKS4ujoikp2rS0tIUOj2raN69e0dubm7cVJaqqiopKSmRh4eHoOLW69atozp16lBwcDBpaGhw5yM0NJS6desmqM8dOnQgT09PqbZ///2XWrZsWa2S9T9Gfn6+whP2ly1bRpaWlhQfH086Ojp09uxZ2r59O9WtW5fWrFnDq49hYWHk6OhI6urqNGDAAFJWVqarV68K7uvIkSOpYcOGNGvWLAoJCaGVK1dKbQxxYT5Z/wOcOHECN2/eBBHB0tISTk5OvHT8/f0RHR2NqKgoGVuCJ0+eoFevXujevbsg08XY2Fg4OTmhffv23GhbVFQULly4gMjISHTp0oW39sOHDxEWFoawsDDk5eVhzJgxGDdunIzpZHXj1KlTGDduHOrWrYvZs2fLOO1Xp+HygwcPom/fvlBVVcXBgwc/uq+2tjZatmwpt6+QpqYmrl27BjMzM+jo6CA5ORlmZmZITk6Go6MjXrx4IXe/y5fs+RhCDTgzMjLRlwNPAAAgAElEQVRw+fJllJSUwMbGRvDnz9LSEosXL8bAgQOlzse1a9fQrVs3QdN6ubm5cHR0RO/evRESEoKHDx+iR48e+PrrrxEeHl4tyzoB76eUZ82ahd27d1c4uq6I0Y8ffvgBISEhePPmDYD3LuczZ87EwoULBemmpaVh8+bN2Lp1K16/fo3+/ftj6NChGDx4MC89fX19HDlyBPb29oL6VRFijpL169cPO3fu5LzOFi1ahClTpnB2Qbm5uejSpQtu3LjB/z9QBbAgqwYSHR2NqVOnIj4+XsbM7sWLF7Czs8P69evlDliePXuGjh074vHjx/Dw8ODyg27cuIG//voLDRo0QHx8vKCyFcB7Z+2ff/4ZV65cgYaGBqytrTFnzhyFBkMxMTGYP38+zpw5g5ycHF7D86tXr/7kPioqKmjQoAEcHBwETVX+888/GDJkiMxFrLoNlyspKeHx48eoV69epW7AysrKWL58OQICAip9jK5du2Lo0KHw9fWVqtc3depU3LlzBxEREXL3u6zpZm5uLoKDg9GnTx/OuDIuLg7Hjx/H3Llz5eprZblw4QLat2/P670aGhq4efMmjI2NpYKstLQ0WFtb855mL+XBgwdwcHDAoEGDcOTIEdja2mLHjh0fLKtVHZgyZQpOnTqFoKAgjBkzBmvXrsXDhw+xYcMGLF26FO7u7go5Tn5+Pm7cuIGSkhJYWlpCW1tbIbrA+5zaI0eO4M8//8SxY8d4l0kyNTXF0aNHubqCimTUqFHcNGdpybWy+Pn58dYuXx9SV1cXV65c4aZjFVGbs0r4rONoDFH45ptv6Ndff/3g66tWraKBAwfy0n769Cn5+PiQgYEBt1rHwMCAJk6cSDk5OXy7XGUUFBTQtm3bqHv37qShoUEjRoygN2/e8NIyMTH55Na0aVPS0tIiDQ0N2rdvn9zHyM/PJ19fX1JXV6f58+crZCVddeHt27cUGhpKDRo0kOt9sbGxpKOjQz4+PlSrVi3y8/MjJycn0tLSkvIS48vgwYMrnPJZs2YNubq68tZ99eoV5efnS7UlJSWRi4uLoBVvFhYW9PfffxOR9PTpqlWryNbWlrduWW7fvk316tUjd3d3KikpUYimmBgZGdGpU6eIiEhHR4ezANi6daugVcpeXl6V2hSNEM+vbdu20dChQykvL0+BPXqPnp4enTt3TuG6RO/tQ8r+v8t+tomIHj9+XO1sRCqCBVk1kKZNm0p5Y5UnNTWVjIyMBB2jpKSEsrOzKTs7W7SLriJzKeLj42nChAmkq6tLNjY2tGbNmirzmCouLqZFixZRy5Yt5XpfbGwsNWvWjFq1aqWQ4KGqKRt0Z2Vl0dy5c+m7776jM2fOcO0vX76kgIAAubVTUlJozJgx1KpVK7KwsCB3d3dKSUlRSL+1tLQq9OW5ffs2aWlpya13//59srOzIyUlJVJVVaWAgADKy8uj0aNHk4qKCg0ZMoTOnz/Pu7+bN2+mxo0bU3h4OGlpadHOnTspODiY+1le9PX1ycDAQGZTV1cnXV1dqbbqipaWFmdU2bhxY0pISCAiooyMDF5/w1IkEgmZmJjQoEGDaODAgR/cqhNt2rQhHR0d0tbWptatWyvMkoTo/YPmx+41QqgpQRZbXVgDyc7O/mi5FRUVFfz333+CjiGRSERZqSdGLkWrVq3w5MkTuLm54ezZs1Ve60pJSQljx45FSEiIXO/r1q0bpk2bhkWLFklVuK/uXL16Fd988w3u37+Pr776CuHh4XB2dkZeXh6UlJTw66+/Yu/evVwOEZ96lFZWVp+sq8cXQ0NDHDhwAN99951U+99//w1DQ0O59WbPno3Xr19j1apV2LdvH1atWoWYmBh8/fXXuH37toylg7x4eXmhqKgIs2bNQn5+Ptzc3NC4cWOsWrWKl6WKogtZfw7MzMy4VcWWlpbYvXs3OnTogEOHDgkqAebj44Pw8HBkZGTA29sbHh4egtMjxEYsSxIAWLhwIX766Sds2bIFmpqaCtWuqNC8WGWMxITlZNVAzM3NsWLFCgwaNKjC1/fv34+ZM2dWy6W7YuRSKCkpQUtLCyoqKh/9kgpNaFY0Z86cqdCLp7rTt29fqKioIDAwENu3b8fhw4fRu3dvbNq0CQDg6+uLS5cuIT4+nvcxSkpKcOfOnQqTbYWes7CwMIwbNw7Ozs5cTlZ8fDwiIiKwadMmeHp6yqXXuHFj7N69G/b29nj8+DEaNWqExYsX87Ka+BQ5OTkoKSkRzR/qSyEkJATKysqYNm0aTp06hf79+6O4uBhFRUX49ddfBeUKvX37Fvv378fmzZtx/vx59O/fH+PGjUPv3r2/yCBACDY2NkhPTwcRwcTERObh/vLly7y1lZSU0LdvX+4B89ChQ+jRowe0tLQAvP87REREVPucLBZk1UB8fX1x+vRpXLhwQcY4tKCgAB06dED37t0rlbhd1TRt2hRbt25Ft27doKuri8uXL6NZs2bYtm0bdu7ciaNHj8qtWdkRjy+pGG51pk6dOoiOjoa1tTVnDJmYmIh27doBAG7evIlOnTrJbdpYSnx8PNzc3HDv3j0ZI1NFLQRISEjA6tWrkZqayq3KnTZtGjp27Ci3lrKyMh4+fIgGDRoAALS0tHDx4kWFJSJnZmaiqKhIZmFIWloaVFVVP+ptVxnEDGiriqysLFz8f+3deVjNaf8H8Pc5bUKJUsoQaSHLxNjHEyI7YRbGMpFZytbDYAbjMZkZjMdjecYYQ2OyzcRDtonsIiONwclIpaRsWUpFC+rcvz9cnZ8UOlvndM77dV1dV32/dZ+Pyulz7vtzf+6zZ9GsWTO8+eabGhs3PT0dYWFh2LhxI54+fYqEhASNFr9r0pMnTyr8GTZu3FjlMUNCQl55X52ec88fCP0qv/zyi8qPURWYZBmgO3fuoF27djAxMcHkyZPh4eEBiUSCy5cv44cffkBJSQnOnTsHBwcHXYdaTu3atXHp0iU4OzvjjTfeQEREBDp27Ii0tDS0bt0ajx490nWI9BrP7zAEUGbHG6D+riAvLy+4u7sjJCSkwh1NpVu+9YWJiQkyMzMVbU+e3xGpCd27d0dAQEC5FwmbN29GaGgojh8/rvLYVZHQVmcZGRmKtjBPnjxBYmKiWklWTk4Otm/fjtTUVMycORP16tVTPFereipAcnIyJkyYgD/++KPMdSEEf4ZVgDVZBsjBwQF//PEHgoKCMHv2bMWTo0QiQd++fbF69WqNJ1g5OTlq1TqU0lYtha4UFhbC0tJS12FUOW3WUly5cgXbt2+Hq6urxsZ8mcLCQjx9+rTMtRfboryOEAK9evVSdB8vLCzE4MGDyx1Xo+rSyvnz5yvsgdS5c2dMnjxZpTFLBQYGon379oiMjKwwodVHcrkcYWFhiIiIwLVr1yCRSNC0aVO8++67GDt2rNr/hueXC2NiYjBo0CCsWrUK/fr1U6tvWHx8PHr37o06derg2rVr+Pjjj1GvXj3s3LkT6enp2Lhxo0rjjh8/Hqampvj999+rzc/QkDDJMlDOzs7Yt28fHjx4gJSUFAgh4ObmppHjGr777js0adIEI0aMAPDs6I0dO3agQYMG2Ldvn1rT8ePHj4dMJkP37t0xe/ZsDBw4EN9//72ilkIfTZo0CT/88EO56/n5+Rg4cKBaMwnV1bhx4xS1FEVFRQgMDCxTS6GOTp06ISUlRWtJlqY3X7y4ZKLOMTcVkUgkePjwYbnrubm5as9SVGVCqwlCCAwZMkTxPNS6dWsIIXD58mWMGzcOERER2LVrl8rjT5w4EeHh4WjcuDHGjx+P8PBwlTZDVGT69OkYN24clixZUuYMw/79+2PUqFEqj3vhwgX89ddfGjv3tF69ekhOToadnd1rm/jqW52rLnC5kJTm4uKCzZs3o2vXrjh06BDef/99bN26Fdu2bUNGRgYOHjyoscfSVi2FJrm5uWHEiBH45ptvFNfy8/MV5+qdPHlSrfF9fHwQERFRbiYvLy8PQ4cOxdGjR9UaX9O0UUsRHx+veD81NRVffvklZs6cWeGBseruHq2qRpaaMmjQINSsWRO//fabokFoSUkJRowYgfz8fOzfv1/lsX18fDBr1qwyZ0Tqs19++QXBwcHYvXs3evbsWebe0aNHMXToUKxatUrlsyKlUikaN26Mtm3bvjK5iIiIUHrsOnXq4Ny5c2jWrFmZJfb09HR4eHgoOssrq0OHDli+fDm6deum0te/aMOGDRg5ciQsLCwQFhb2yu8D61yZZJEKLC0tkZycjEaNGiE4OBhFRUX46aefkJycjE6dOuHBgwe6DrFKpaWloVu3bpgxYwamTZuGhw8fom/fvjA1NcX+/fsVMziqerHGqdTdu3fRsGHDcstZhkgqlUIikZSrCypVek8TNSba2HxRqri4GMePH0dqaipGjRoFKysr3Lp1C9bW1irX8iQkJMDb2xs2NjaKUxxOnjyJvLw8HD16FK1atVI53p07d2o1odW0Pn36wMfH56U7NxcuXIjo6GgcOHBApfHHjRtXqeU2VYqxHRwcEBUVhbZt25ZJsg4ePIgJEybg+vXrlR4rLy9P8f7Zs2fx5ZdfYuHChRX+DJVd/iblcLmQlFa3bl1cv34djRo1QlRUlGIGRwih0h84ZXY5Tp06VenxX/TkyROkpaWhWbNmijoZdTRt2hQHDhxAjx49IJVKER4eDgsLC0RGRqqVYD0/e5OQkIDMzEzFxyUlJYiKilK5GLa6SUtLq7LHys7OVhSlW1tbK5Y8unXrhqCgIJXHTU9PR79+/ZCRkYHHjx/D19cXVlZWWLJkCYqKirBmzRqVxvX09ER8fDxWrVoFmUwGS0tLfPjhh5g8ebLaPZzeeecdAEBAQIDimiYTWk2Lj4/HkiVLXnq/f//+au2qDgsLU/lrX8fPzw8LFizAtm3bADz7PmdkZOCLL75Q/Bwqy8bGpkwyWFoX+DxN/AxfPPqmVFZWFuzt7fXu90MXmGSR0oYPH45Ro0bBzc0NWVlZ6N+/P4Bna/+q1G5UtkmnRCJRK8kqKCjAlClTFC0dkpOT4eLigqlTp8LJyUmtvkWtWrXC77//jt69e6NTp074/fff1S549/LyUjTk8/HxKXff0tIS33//vVqPUV04OzsjICAAK1euLFOvog3a2nwRHByM9u3bQyaTlanjGTZsGD766CO1Yi7tvaVpVZncakJ2dvYrN/U4ODjo7Uz70qVLMWDAANjb26OwsBDdu3dHZmYmunTpgm+//VapsY4dO6alKMt62czy48ePy23sMFZMskhpy5cvR5MmTXD9+nUsWbJEscxx+/ZtTJw4UenxquqJfPbs2ZDJZDh+/HiZGpPevXtj/vz5SiVZL6vJsLCwwK1bt8rs9lJ111haWhqEEHBxcUFcXJyiBQAAmJubw97eXq8P6dW0DRs2YPHixVpPsrS1+SImJganTp0q98fH2dkZN2/eVCvmnJwcxMXFVdgHSdX6o9LYqpOSkpJXzk6bmJiguLi4CiOqPGtra8TExODo0aM4d+4c5HI52rVrh969eys9Vvfu3bUQ4f8rnQ2USCQIDQ0ts9RdUlKCEydOaKzQvrpjkkVKMzMzw4wZM8pd/+c//6mDaCpv165d2Lp1Kzp37lwmQfL09ERqaqpSY2nzqIpSpX/gXvyjaayqqnx02rRpivd79uyJxMRExeYLOzs7lceVy+UVLp/cuHFDrcRx7969GD16NPLz82FlZVXmd1sikSidZO3Zswf9+/eHmZkZ9uzZ88rPHTJkiEoxa4sQoszO1hepu7O1Kvj4+ChmrlVt2PuinJwc/Pzzz7h8+TIkEgk8PT0REBCgck+50tUHIQTWrFlT5sWeubk5mjRpovLyt6Fh4Tsp7WVPvBKJBDVq1ICrq6tKjRavXLmC+Ph4tGvXDk2bNkVkZCS+++47FBYWYujQoZgzZ45aPV5q1qyJv//+Gy4uLmUKS2UyGby9vZGbm6vy2NqWnJyM48ePVzhT8a9//UtHUVUtqVSKO3fulJnRqyqZmZn49ttvERoaisLCQpXGGDFiBOrUqYO1a9cqGpLWr18ffn5+aNy4scqdq93d3TFgwAAsXLhQI+fHPb/R4lV9n/SxJqs6dwnXVmucs2fPom/fvrC0tETHjh0hhMDZs2dRWFiIgwcPol27dirH3LNnT0RERGikNZDB0vYJ1GR4JBKJkEqlQiKRlHkrvSaVSoW3t7fIzs6u9JgRERHC1NRUmJubCwsLC7FhwwZhYWEh+vXrJwYOHChMTU3F4sWL1Yrb29tb/Pe//xVCPDvR/erVq0IIISZNmiT69u2r8rhxcXEiNja23PXY2Fjx559/qjxuqbVr1woTExPh4OAg3nzzTeHl5aV4a9u2rdrjVxcSiUTY2NiIunXrvvJNVQ8ePBCjRo0SdnZ2wtHRUaxcuVKUlJSIefPmCUtLS9G+fXvx66+/qjz+zZs3hbu7u2jRooUwNTUVnTt3Fra2tsLDw0PcuXNH5XFr1qwpUlNTVf560g9NmzYVp06dEkIIcfDgQWFjYyMOHDggJkyYIHx9fVUet1u3bmLcuHHi6dOnimtPnz4V/v7+4h//+IfacT+vuLhYnD9/XqnnfkPHJIuUdvjwYdGpUydx+PBhkZeXJ/Ly8sThw4dF586dRWRkpIiJiREtW7YUAQEBlR7zrbfeEnPmzBFyuVysX79eWFpaiuXLlyvu//TTT6J58+ZqxX3q1ClhZWUlAgMDRY0aNURwcLDo3bu3qFWrljh79qzK43bo0EH873//K3d9x44domPHjuqELIQQonHjxmonmIZAIpGIlStXirCwsFe+qSooKEi88cYb4rPPPhMtW7YUUqlU9O/fX/Ts2VMcP35cI/+GgoIC8fPPP4tJkyaJoKAgsW7dOlFQUKDWmMOGDRNbt27VSHyVlZGRIcaPH1+lj2noatSoITIyMoQQQkydOlV88sknQgghkpKShI2NjVrjXr58udz1S5cuCUtLS5XHFUKI4OBgERoaKoR4lmB17dpVSCQSUatWLXHs2DG1xjYUTLJIaS1btlS84npeTEyM8PT0FEIIcejQIdGoUaNKj1m7dm2RkpIihBCipKREmJiYiIsXLyrup6Wlqf2EIIQQ8fHx4sMPPxQtW7YULVq0EKNHjxbx8fFqjVmrVq0KZxKuXr0qateurdbYQghhZWXFmQrxLMlSZ8bndRo3biwOHTokhBAiNTVVSCQSERwcrLXH05TQ0FDRuHFjMX/+fLF9+3axe/fuMm/acOHCBSGVSrUytrFydHRUPK+6u7uLbdu2CSGESExMFFZWViqPa29vLw4cOFDuelRUlLC3t1d5XCGEcHJyUszW79y5Uzg5OYmkpCQxd+5c0bVrV7XGNhQsfCelpaamVtjAztraGlevXgXwrAv6/fv3Kz1madEu8KwmxNLSskx9iaWlpUaKVlu3bq1o4aApFhYWuHPnjuIA5FK3b9/WSB+u9957DwcPHkRgYKDaY1Vn2j5z7datW/D09ATwrI1DjRo11G6t8CJt1NZ9/PHHAIAFCxaUu6ePdVNUMU23xik1YsQITJgwAUuXLkXXrl0hkUgQExODmTNn4oMPPlAr5qysLDRo0AAAsG/fPrz33ntwd3fHhAkT1OpHZkiYZJHS3nrrLcycORMbN25UFCHfu3cPs2bNQocOHQA8K2J/4403Kj1maT+ol32sKXK5HCkpKRX+kfP29lZpTF9fX8yePRu7d+9W7NbJycnBnDlz4Ovrq9KYzz9Bubq6Yt68eYiNja2wY7MmGrRWB0LLe3TkcnmZ762JiYna3fqft27dOgQFBcHOzg4NGjQo9/uuapLF3aeGQdOtcUotXbpUscu0uLgYQgiYm5sjKCgIixcvVitmBwcHJCQkwNHREVFRUVi9ejWAZz0Jjam9zKtwdyEpLSkpCX5+fkhLS0OjRo0UnYldXFywe/duuLu7Y9euXXj48CHGjh1bqTGlUinq1Kmj+MOTk5MDa2trxe4mIQTy8vLUelUeGxuLUaNGIT09vdwfbHVe8d+8eRPe3t7IyspC27ZtATx79eng4IBDhw6hUaNGSo9Z2d2ZEolEMXtI6pFKpejfv79i+//evXvh4+NTLtFS5Vw64FlLjokTJ+Lzzz9XO1Zdk8lkaNeuHWfJqpGCggKkpqZCCAFXV1eN7ET96quvsGLFCjg6OqKgoADJycmwsLDA+vXrsW7dOpw+fVoDkVdvTLJIJUIIHDhwAMnJyRBCoHnz5vD19X3llu9XqewSnjoHjnp5ecHd3R0hISFwdHQsN1Omas8Y4Nly55YtWxTHmrRp0wYffPBBuVkn0l/a3v5vbW2NCxculFtW1oT8/HxER0cjIyMDT548KXNPlZnO4cOHv/J+Tk4OoqOjmWSpSZs9yV73MwQAU1NTNGjQAL6+vhg8eLBS45favn07rl+/jvfee0+xerFhwwbY2NjAz89PpTENCZMsMhq1atWCTCZTq76BSFUTJkxAhw4dNF5bd/78eQwYMAAFBQXIz89HvXr1cP/+fdSsWRP29vYqzXRW535T1Yk2e5JV5mcol8tx9+5dREdHY8aMGRXW9ZF6mGSRSo4cOYIjR45UWNu0fv16HUX1aj4+Ppg1a1aZI3U0KSEhocKZBHW7Yk+fPr3C6883f/Xz81P7MGDSrkWLFmHZsmUYMGAA2rRpo7Hauh49esDd3R0//vgjbGxsIJPJYGZmhjFjxiA4OLhSMxpk3CIjIxEUFISMjAylvu51SZmxNEp+FSZZpLSQkBAsWLAA7du3r3DZbefOnTqKrLz4+HjF+6mpqfjyyy8xc+bMCgvI27Rpo9JjXL16FcOGDcPFixchkUgU9V6l3xd1l1R69uyJc+fOoaSkBB4eHhBC4MqVKzAxMUHz5s2RlJSk2DFUujuO9M+r6uzUqa2zsbHBmTNn4OHhARsbG5w+fRotWrTAmTNn4O/vj8TERFVDJj1x8+ZNNGzYUGvj5+TkICAgQOl6w9Ia1FJPnz5FWloaTE1N0axZM5XPbTUoVdwyggxAgwYNxMaNG3UdRqW8rDt9RV3qVTVo0CDh5+cn7t69K2rXri0SEhLEyZMnRceOHcWJEyfU/jcsX75cDB8+XOTm5iqu5ebminfffVesWLFC5OfnCz8/P9GnTx+1H4u07969e+L+/fsaG8/Ozk4kJSUJIZ71V4qKihJCCHH58mWN9JYj3bl9+7aYPHmyqFGjhq5DqbTc3FwxbNiwavM3QtuYZJHS6tWrp2gcqu+uXbtW6TdV2draCplMJoQQwtraWiQmJgohhDhy5Ijw8vJS+9/g5OQkLl26VO7633//LZycnIQQQvz111/C1tZW7cci7Xjw4IGYOHGisLW1FVKpVEilUmFraysmTZokcnJy1Brb19dXbNmyRQghxKeffio6duwoNm/eLPr27auREwdIu7R9nJMuXLx4UTg7O+s6DL3APlmktI8++gi//vor5s2bp7XHePLkCdLS0tCsWTO1Gno6OzsjICAAK1euVDQ71bSSkhJFTxs7OzvcunULHh4ecHZ2RlJSktrj5+bm4u7du+WWAu/du4e8vDwAz5aMXqwFI/2QnZ2NLl264ObNmxg9ejRatGgBIQQuX76MsLAwHDlyBH/88YfKh+wuXLgQDx8+BAB8/fXX8Pf3R1BQEFxdXVmYXg3MmTMHJ06cgL+/P6KiojBt2jRERUWhqKgI+/fvR/fu3XUdotJycnKQm5ur6zD0ApMsUlpRURHWrl2Lw4cPV1jAu2zZMpXHLigowJQpUxQtHZKTk+Hi4oKpU6fCyckJX3zxhdJjbtiwAYsXL9ZaktWqVSvEx8fDxcUFnTp1wpIlS2Bubo61a9dqZLu+n58fAgIC8J///AcdOnSARCJBXFwcZsyYgaFDhwIA4uLi4O7urvZjkeYtWLAA5ubmSE1NhYODQ7l7ffr0wYIFC7B8+XKVxm/fvr3i/fr162Pfvn1qxUtVKzIyEr/88gt69+6NiRMnwtXVFe7u7lixYoWuQ3utF7u6CyFw+/ZtbNq0SWsbjKobFr6T0nr27PnSexKJBEePHlV57ODgYJw6dQorVqxAv379FMnLnj17MH/+fJw/f17pMZ/fJq0NBw4cQH5+PoYPH47U1FQMHjwYiYmJsLW1RXh4OHr16qXW+I8ePcK0adOwceNGFBcXA3jW38bf3x/Lly9HrVq1cOHCBQDPeoGRfmnSpAl++ukn9O3bt8L7UVFRCAwMxLVr16o2MNILZmZmSE9Ph5OTEwCgZs2aiIuLQ6tWrXQc2eu9uJlDKpWifv368PHxwezZs7X2wrY6YZJFesXZ2Rlbt25F586dYWVlBZlMBhcXF6SkpKBdu3aK5TFlSKVS3LlzR3EEUFXIzs5G3bp1NXo00KNHj3D16lUIIdCsWTPFEiXpNwsLC6Smpr70mKkbN27A1dUVRUVFlR6zXbt2OHLkCOrWrYu2bdu+8veMO7z0m4mJCTIzMxXPT1ZWVoiPj6/0qQ+k37hcSHrl3r17Fc445efnq5WwuLu7v/brs7OzlRqzqjoql6pdu7bKbSZId+zs7HDt2rWXJllpaWmwtbVVakw/Pz/F8T+lS8ZUPQkhMG7cOMXPs6ioCIGBgRo7zkkbqvq5rzpjkkWVMnz4cISFhcHa2vq1/8HUeTLo0KEDIiMjMWXKFAD/32tq3bp16NKli8rjhoSEqHVsTkUqM55cLseVK1cQGhqqVEflqvp+k/b169cPc+fOxaFDh2Bubl7m3uPHjzFv3jyl61fmz59f4ftU/bx4VNiYMWN0FEnlafO5z9AwyaJKef7wZk0nK89btGgR+vXrh4SEBBQXF2PlypW4dOkSTp8+jejoaJXHHTlypMZrspTZuVXaUbmyTzRV9f0m7QsJCUH79u3h5uaGSZMmoXnz5gCenRCwevVqPH78GJs2bdJxlKQr1XEHqDaf+wwNa4B4JwEAAAxzSURBVLJIo/Ly8mBtba3WGBcvXsTSpUvx119/QS6Xo127dvj888/RunVrlcYzMTHB7du3tVb4XhmqdlQmw5CWloaJEyfi4MGDZU4E8PX1xapVq5Q+T1OZej9ll8GJNMnYn/uYZFGlLV26FDNmzHjp/by8PPTp0wexsbFVGNXraXt3obatW7cOPXr0gJubm65DITU9ePAAV65cAQC4urqqfN5kaYuTynhxOYqIqg6TLKo0S0tLrF69usLT3R8+fIg+ffogNzcXCQkJaj2OXC5HSkpKhYdPe3t7qzV2ddS8eXMkJyejQYMG6N69O3r06IHu3bsrlp2IiEg/McmiStu+fTvGjh2L3377rcyOpkePHqFPnz7IysrCiRMnyjVcVEZsbCxGjRqF9PR0vPirKZFI1D5subrKzMzEsWPHEB0djePHj+PKlSuoX78+evTogfDwcF2HR1VMmVYm6i7fE5HqmGSRUkJDQzF16lRERkaiZ8+eePToEfr164e7d+8iOjoajo6Oao3v5eUFd3d3hISEwNHRsVzdibEXgefn5yMmJgbh4eHYvHkzhBCKBqVkPKRS6WtrsoQQRv3ChEgfcHchKeWjjz5CdnY2hg4dit27d2PevHnIzMzUSIIFAFeuXMH27duVLgQ2ZPv371fMYMlkMrRs2RLe3t7YsWMH/vGPf+g6PNKBY8eO6ToEIqoEJlmktFmzZuHBgwfo1asXmjRpgujoaDRs2FAjY3fq1AkpKSlMsp4zcOBA1K9fH5999hkOHDhg9LN5hEofGlx63BIR6QaXC6nSXmyKuW/fPrz55pvlEixlt+rGx8cr3k9NTcWXX36JmTNnonXr1uUOn9ZUx/MbN27AyckJUqlUI+Np04oVK3DixAmcPHkSJiYmiuL3Hj16oEWLFroOj/RMbm4utmzZgtDQUMhkMi4XEukQkyyqtIp2FVZE2eZ6pfUlL/tVLL2nyfoSa2trXLhwAS4uLhoZr6pcvHgR0dHROHbsGPbu3QtbW1vcvn1b12GRHjh69CjWr1+PiIgIODs745133sE777yDtm3b6jo0IqPF5UKqNG11Jk5LS9PKuK9SHV9bnD9/HsePH8exY8dw8uRJyOXyl56HR8bhxo0bCAsLw/r165Gfn4/3338fT58+xY4dO+Dp6anr8IiMHmeySC8EBARg5cqVsLKyqpLHs7KygkwmqxYzWUOGDEFMTAzy8vLg5eWlWCr09vbm9nwjNmDAAMTExGDQoEEYPXo0+vXrBxMTE5iZmUEmkzHJItIDnMkivbBhwwYsXrxYa0nWiRMnynxcUlKCuLg43LhxQ3FNXxuduru745NPPmFSRWUcPHgQU6dORVBQEE8DINJTnMkivaDto2+aNm1a5uOMjAw4OTnB1PTZ6wyJRIKrV69q5bGJtOH06dNYv349tm3bhubNm2Ps2LEYMWIEnJycOJNFpCeYZJFekEqluHPnDurXr18lj1ddlgvlcjnCwsIQERGBa9euQSKRoGnTpnj33XcxduzYSh8STIaroKAA4eHhWL9+PeLi4lBSUoJly5YhICCgypbfiahiTLJIL0ilUtSpU+e1SUN2drZGHq86JFlCCAwePFjRKqN58+YQQuDy5cu4ePEihgwZgl27duk6TNIjSUlJ+Pnnn7Fp0ybk5OTA19cXe/bs0XVYREaLNVmkN0JCQtho8zlhYWE4ceIEjhw5gp49e5a5d/ToUQwdOhQbN27Ehx9+qKMISd94eHhgyZIlWLRoEfbu3Yv169frOiQio8aZLNIL2q7JelFQUBC+/vpr2NnZVcnjqaJPnz7w8fHBF198UeH9hQsXIjo6GgcOHKjiyIiIqDKYZJFeMDExwe3bt6ssyaoOGjRogKioKHh5eVV4//z58+jfvz8yMzOrODIiIqoM/T9ThIwCc/3ysrOz4eDg8NL7Dg4OePDgQRVGREREymBNFukFuVyu6xD0TklJiaLFREVMTExQXFxchREREZEymGQR6SkhBMaNGwcLC4sK7z9+/LiKIyIiImUwySLSU/7+/q/9HO4sJCLSXyx8JyIiItICFr6TUTl58iTGjBmDLl264ObNmwCATZs2ISYmRseRERGRoWGSRUZjx44d6Nu3LywtLXH+/HlFTdPDhw+xcOFCHUdHRESGhkkWGY1vvvkGa9aswbp162BmZqa43rVrV5w7d06HkRERkSFikkVGIykpCd7e3uWuW1tbIycnRwcRERGRIWOSRUbD0dERKSkp5a7HxMTo9UHRRERUPTHJIqPx6aefIjg4GGfOnIFEIsGtW7ewZcsWzJgxAxMnTtR1eEREZGDYwoGMyty5c7F8+XIUFRUBACwsLDBjxgx8/fXXOo6MiIgMDZMsMjoFBQVISEiAXC6Hp6cnateureuQiIjIADHJIqORm5uLkpIS1KtXr8z17OxsmJqawtraWkeRERGRIWJNFhmNkSNHIjw8vNz1bdu2YeTIkTqIiIiIDBlnssho1KtXD6dOnUKLFi3KXE9MTMTbb7+NrKwsHUVGRESGiDNZZDQeP36M4uLictefPn2KwsJCHURERESGjEkWGY0OHTpg7dq15a6vWbMGb731lg4iIiIiQ2aq6wCIqsq3336L3r17QyaToVevXgCAI0eO4M8//8TBgwd1HB0RERka1mSRUblw4QL+/e9/48KFC7C0tESbNm0we/ZsuLm56To0IiIyMEyyiIiIiLSAy4VkVORyOVJSUnD37l3I5fIy9yo6PJqIiEhVTLLIaMTGxmLUqFFIT0/HixO4EokEJSUlOoqMiIgMEZcLyWh4eXnB3d0dISEhcHR0hEQiKXO/Tp06OoqMiIgMEZMsMhq1atWCTCaDq6urrkMhIiIjwD5ZZDQ6deqElJQUXYdBRERGgjVZZDSmTJmCzz77DJmZmWjdujXMzMzK3G/Tpo2OIiMiIkPE5UIyGlJp+YlbiUQCIQQL34mISOM4k0VGIy0tTdchEBGREeFMFhEREZEWsPCdjMqmTZvw9ttvw8nJCenp6QCAFStWYPfu3TqOjIiIDA2TLDIaP/74I6ZPn44BAwYgJydHUYNlY2ODFStW6Dg6IiIyNEyyyGh8//33WLduHebOnQsTExPF9fbt2+PixYs6jIyIiAwRkywyGmlpaWjbtm256xYWFsjPz9dBREREZMiYZJHRaNq0KS5cuFDu+v79++Hp6amDiIiIyJCxhQMZjZkzZ2LSpEkoKiqCEAJxcXH47bffsGjRIoSGhuo6PCIiMjBs4UBGZd26dfjmm29w/fp1AEDDhg3x1VdfYcKECTqOjIiIDA2TLDIKQghkZGTA3t4elpaWuH//PuRyOezt7XUdGhERGSgmWWQU5HI5atSogUuXLsHNzU3X4RARkRFg4TsZBalUCjc3N2RlZek6FCIiMhJMsshoLFmyBDNnzsTff/+t61CIiMgIcLmQjEbdunVRUFCA4uJimJubw9LSssz97OxsHUVGRESGiC0cyGjw6BwiIqpKnMkiIiIi0gLOZJFRKSkpwa5du3D58mVIJBJ4enpiyJAhZc4yJCIi0gQmWWQ0UlJSMGDAANy8eRMeHh4QQiA5ORmNGjVCZGQkmjVrpusQiYjIgHC5kIzGgAEDIITAli1bUK9ePQBAVlYWxowZA6lUisjISB1HSEREhoRJFhmNWrVqITY2Fq1bty5zXSaT4e2338ajR490FBkRERki9skio2FhYYGHDx+Wu/7o0SOYm5vrICIiIjJkTLLIaAwaNAiffPIJzpw5AyEEhBCIjY1FYGAghgwZouvwiIjIwHC5kIxGTk4O/P39sXfvXpiZmQEAiouLMWTIEISFhaFOnTo6jpCIiAwJkywyOleuXEFiYiKEEPD09ISrq6uuQyIiIgPEJIuIiIhIC9gniwza9OnTK/25y5Yt02IkRERkbJhkkUE7f/58pT5PIpFoORIiIjI2XC4kIiIi0gK2cCCDd/XqVfC1BBERVTUmWWTw3NzccO/ePcXHI0aMwJ07d3QYERERGQMmWWTwXpzF2rdvH/Lz83UUDRERGQsmWURERERawCSLDJ5EIim3e5C7CYmISNvYwoEMnhAC48aNg4WFBQCgqKgIgYGBqFWrVpnPi4iI0EV4RERkoJhkkcHz9/cv8/GYMWN0FAkRERkT9skiIiIi0gLWZBERERFpAZMsIiIiIi1gkkVERESkBUyyiIiIiLSASRYRERGRFjDJIiIiItICJllEREREWsAki4iIiEgLmGQRERERacH/AT/mXZaI5OicAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "popular_artist = triplet_dataset_sub_song_merged[['artist_name','listen_count']].groupby('artist_name').sum().reset_index()\n",
    "popular_artist_top_20 = popular_artist.sort_values('listen_count', ascending=False).head(n=20)\n",
    "\n",
    "objects = (list(popular_artist_top_20['artist_name']))\n",
    "y_pos = np.arange(len(objects))\n",
    "performance = list(popular_artist_top_20['listen_count'])\n",
    " \n",
    "plt.bar(y_pos, performance, align='center', alpha=0.5)\n",
    "plt.xticks(y_pos, objects, rotation='vertical')\n",
    "plt.ylabel('Item count')\n",
    "plt.title('Most popular Artists')\n",
    " \n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 用户播放量的分布"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-09-24T14:55:04.690241Z",
     "start_time": "2017-09-24T14:54:59.848292Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "count    99996.000000\n",
       "mean       107.762160\n",
       "std         79.744072\n",
       "min          1.000000\n",
       "25%         53.000000\n",
       "50%         89.000000\n",
       "75%        141.000000\n",
       "max       1189.000000\n",
       "Name: title, dtype: float64"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "user_song_count_distribution = triplet_dataset_sub_song_merged[['user','title']].groupby('user').count().reset_index().sort_values(\n",
    "by='title',ascending = False)\n",
    "user_song_count_distribution.title.describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>user</th>\n",
       "      <th>title</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>54762</th>\n",
       "      <td>8cb51abc6bf8ea29341cb070fe1e1af5e4c3ffcc</td>\n",
       "      <td>1189</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30566</th>\n",
       "      <td>4e73d9e058d2b1f2dba9c1fe4a8f416f9f58364f</td>\n",
       "      <td>1185</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75374</th>\n",
       "      <td>c1255748c06ee3f6440c51c439446886c7807095</td>\n",
       "      <td>1148</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6735</th>\n",
       "      <td>119b7c88d58d0c6eb051365c103da5caf817bea6</td>\n",
       "      <td>1120</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>58877</th>\n",
       "      <td>96f7b4f800cafef33eae71a6bc44f7139f63cd7a</td>\n",
       "      <td>1078</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>92329</th>\n",
       "      <td>ec6dfcf19485cb011e0b22637075037aae34cf26</td>\n",
       "      <td>1047</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>42591</th>\n",
       "      <td>6d625c6557df84b60d90426c0116138b617b9449</td>\n",
       "      <td>1041</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>71724</th>\n",
       "      <td>b7c24f770be6b802805ac0e2106624a517643c17</td>\n",
       "      <td>1026</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>85621</th>\n",
       "      <td>db6a78c78c9239aba33861dae7611a6893fb27d5</td>\n",
       "      <td>996</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>99561</th>\n",
       "      <td>fef771ab021c200187a419f5e55311390f850a50</td>\n",
       "      <td>995</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                           user  title\n",
       "54762  8cb51abc6bf8ea29341cb070fe1e1af5e4c3ffcc   1189\n",
       "30566  4e73d9e058d2b1f2dba9c1fe4a8f416f9f58364f   1185\n",
       "75374  c1255748c06ee3f6440c51c439446886c7807095   1148\n",
       "6735   119b7c88d58d0c6eb051365c103da5caf817bea6   1120\n",
       "58877  96f7b4f800cafef33eae71a6bc44f7139f63cd7a   1078\n",
       "92329  ec6dfcf19485cb011e0b22637075037aae34cf26   1047\n",
       "42591  6d625c6557df84b60d90426c0116138b617b9449   1041\n",
       "71724  b7c24f770be6b802805ac0e2106624a517643c17   1026\n",
       "85621  db6a78c78c9239aba33861dae7611a6893fb27d5    996\n",
       "99561  fef771ab021c200187a419f5e55311390f850a50    995"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "user_song_count_distribution.head(10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-09-24T15:11:28.003535Z",
     "start_time": "2017-09-24T15:11:27.461150Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = user_song_count_distribution.title\n",
    "n, bins, patches = plt.hist(x, 50, facecolor='green', alpha=0.75)\n",
    "plt.xlabel('Play Counts')\n",
    "plt.ylabel('Num of Users')\n",
    "plt.title(r'$\\mathrm{Histogram\\ of\\ User\\ Play\\ Count\\ Distribution}\\ $')\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 推荐系统"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "#import Recommenders as Recommenders\n",
    "from sklearn.model_selection import train_test_split"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "## 排行榜单推荐"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "#将数据分为训练集和测试集\n",
    "triplet_dataset_sub_song_merged_set = triplet_dataset_sub_song_merged\n",
    "train_data, test_data = train_test_split(triplet_dataset_sub_song_merged_set, test_size = 0.40, random_state=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>user</th>\n",
       "      <th>song</th>\n",
       "      <th>listen_count</th>\n",
       "      <th>title</th>\n",
       "      <th>release</th>\n",
       "      <th>artist_name</th>\n",
       "      <th>year</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>8525433</th>\n",
       "      <td>e9694ba5a9666a1db00572017b47da4eeb51e7a5</td>\n",
       "      <td>SOYJJRX12A8C137A0F</td>\n",
       "      <td>1</td>\n",
       "      <td>Bonafied Lovin (Radio Edit)</td>\n",
       "      <td>Bonafied Lovin</td>\n",
       "      <td>Chromeo</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9318870</th>\n",
       "      <td>aff2b00aeba4a389d22c474dc33645e0a6dfd56e</td>\n",
       "      <td>SOLMIUU12A58A79C99</td>\n",
       "      <td>1</td>\n",
       "      <td>Another Day In Paradise</td>\n",
       "      <td>Hits</td>\n",
       "      <td>Phil Collins</td>\n",
       "      <td>1989</td>\n",
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       "    <tr>\n",
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       "      <td>25f83a09541073b1bde62e6e513cb938d3b148de</td>\n",
       "      <td>SOWPRYI12A58A7B51A</td>\n",
       "      <td>1</td>\n",
       "      <td>The World At Large</td>\n",
       "      <td>Good News For People Who Love Bad News</td>\n",
       "      <td>Modest Mouse</td>\n",
       "      <td>2004</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4233464</th>\n",
       "      <td>564f6fb75290f1aaabdc65b353256b30de6a5d13</td>\n",
       "      <td>SOLKOYH12A8C135EF8</td>\n",
       "      <td>1</td>\n",
       "      <td>I Try</td>\n",
       "      <td>I Try</td>\n",
       "      <td>Talib Kweli / Mary J. Blige</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6475983</th>\n",
       "      <td>dccd0a064aa6ea4fc52ed4c18934bb730045b0cc</td>\n",
       "      <td>SOWBOJR12A6D4F8BB0</td>\n",
       "      <td>1</td>\n",
       "      <td>Ven</td>\n",
       "      <td>Sobrevive</td>\n",
       "      <td>Kudai</td>\n",
       "      <td>2006</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
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       "</div>"
      ],
      "text/plain": [
       "                                             user                song  \\\n",
       "8525433  e9694ba5a9666a1db00572017b47da4eeb51e7a5  SOYJJRX12A8C137A0F   \n",
       "9318870  aff2b00aeba4a389d22c474dc33645e0a6dfd56e  SOLMIUU12A58A79C99   \n",
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       "4233464  564f6fb75290f1aaabdc65b353256b30de6a5d13  SOLKOYH12A8C135EF8   \n",
       "6475983  dccd0a064aa6ea4fc52ed4c18934bb730045b0cc  SOWBOJR12A6D4F8BB0   \n",
       "\n",
       "         listen_count                        title  \\\n",
       "8525433             1  Bonafied Lovin (Radio Edit)   \n",
       "9318870             1      Another Day In Paradise   \n",
       "925974              1           The World At Large   \n",
       "4233464             1                        I Try   \n",
       "6475983             1                          Ven   \n",
       "\n",
       "                                        release                  artist_name  \\\n",
       "8525433                          Bonafied Lovin                      Chromeo   \n",
       "9318870                                    Hits                 Phil Collins   \n",
       "925974   Good News For People Who Love Bad News                 Modest Mouse   \n",
       "4233464                                   I Try  Talib Kweli / Mary J. Blige   \n",
       "6475983                               Sobrevive                        Kudai   \n",
       "\n",
       "         year  \n",
       "8525433     0  \n",
       "9318870  1989  \n",
       "925974   2004  \n",
       "4233464     0  \n",
       "6475983  2006  "
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "train_data.head(5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "#定一函数生成最流行的音乐\n",
    "def popularity_recommendation_fit(train_data, user_id, item_id):\n",
    "    #Get a count of user_ids for each unique song as recommendation score\n",
    "#    train_data_grouped = train_data.groupby([item_id]).agg({user_id: 'sum'}).reset_index()#基于点击量的排行\n",
    "    train_data_grouped = train_data.groupby([item_id]).agg({user_id: 'count'}).reset_index()#基于每首歌用户量的排行\n",
    "    train_data_grouped.rename(columns = {user_id: 'score'},inplace=True)\n",
    "    \n",
    "    #Sort the songs based upon recommendation score\n",
    "    train_data_sort = train_data_grouped.sort_values(['score', item_id], ascending = [0,1])\n",
    "    \n",
    "    #Generate a recommendation rank based upon score\n",
    "    train_data_sort['Rank'] = train_data_sort['score'].rank(ascending=0, method='first')\n",
    "        \n",
    "    #Get the top 10 recommendations\n",
    "    popularity_recommendations = train_data_sort.head(20)\n",
    "    return popularity_recommendations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "#recommendations_user = popularity_recommendation_fit(triplet_dataset_sub_song_merged,'user','title')\n",
    "recommendations_user = popularity_recommendation_fit(train_data,'user','title')\n",
    "#recommendations_user = popularity_recommendation_fit(triplet_dataset_sub_song_merged,'listen_count','title')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
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       "      <td>Yellow</td>\n",
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       "      <td>16.0</td>\n",
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       "      <th>16438</th>\n",
       "      <td>OMG</td>\n",
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       "                                                   title  score  Rank\n",
       "19580                                      Sehr kosmisch  11164   1.0\n",
       "5782                      Dog Days Are Over (Radio Edit)  10439   2.0\n",
       "27315                                     You're The One   9641   3.0\n",
       "19542                                            Secrets   9090   4.0\n",
       "18636                                            Revelry   9074   5.0\n",
       "25071                                               Undo   8715   6.0\n",
       "7530                                           Fireflies   7792   7.0\n",
       "9640                                    Hey_ Soul Sister   7764   8.0\n",
       "25217                                       Use Somebody   7660   9.0\n",
       "9921   Horn Concerto No. 4 in E flat K495: II. Romanc...   7456  10.0\n",
       "24292                                           Tive Sim   7211  11.0\n",
       "23469                                      The Scientist   6934  12.0\n",
       "3630                                              Canada   6857  13.0\n",
       "4195                                              Clocks   6765  14.0\n",
       "12135                                         Just Dance   6694  15.0\n",
       "26975                                             Yellow   6575  16.0\n",
       "16438                                                OMG   6516  17.0\n",
       "9844                                                Home   6245  18.0\n",
       "3296                                         Bulletproof   6191  19.0\n",
       "4762                                    Creep (Explicit)   6174  20.0"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "recommendations_user"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
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       "      <th>26975</th>\n",
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       "      <td>6575</td>\n",
       "      <td>16.0</td>\n",
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       "      <th>16438</th>\n",
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       "      <td>20.0</td>\n",
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      ],
      "text/plain": [
       "                                        user_id  \\\n",
       "19580  bc2e0b54b1b42846cfcee9e667dc211edcfa317d   \n",
       "5782   bc2e0b54b1b42846cfcee9e667dc211edcfa317d   \n",
       "27315  bc2e0b54b1b42846cfcee9e667dc211edcfa317d   \n",
       "19542  bc2e0b54b1b42846cfcee9e667dc211edcfa317d   \n",
       "18636  bc2e0b54b1b42846cfcee9e667dc211edcfa317d   \n",
       "25071  bc2e0b54b1b42846cfcee9e667dc211edcfa317d   \n",
       "7530   bc2e0b54b1b42846cfcee9e667dc211edcfa317d   \n",
       "9640   bc2e0b54b1b42846cfcee9e667dc211edcfa317d   \n",
       "25217  bc2e0b54b1b42846cfcee9e667dc211edcfa317d   \n",
       "9921   bc2e0b54b1b42846cfcee9e667dc211edcfa317d   \n",
       "24292  bc2e0b54b1b42846cfcee9e667dc211edcfa317d   \n",
       "23469  bc2e0b54b1b42846cfcee9e667dc211edcfa317d   \n",
       "3630   bc2e0b54b1b42846cfcee9e667dc211edcfa317d   \n",
       "4195   bc2e0b54b1b42846cfcee9e667dc211edcfa317d   \n",
       "12135  bc2e0b54b1b42846cfcee9e667dc211edcfa317d   \n",
       "26975  bc2e0b54b1b42846cfcee9e667dc211edcfa317d   \n",
       "16438  bc2e0b54b1b42846cfcee9e667dc211edcfa317d   \n",
       "9844   bc2e0b54b1b42846cfcee9e667dc211edcfa317d   \n",
       "3296   bc2e0b54b1b42846cfcee9e667dc211edcfa317d   \n",
       "4762   bc2e0b54b1b42846cfcee9e667dc211edcfa317d   \n",
       "\n",
       "                                                   title  score  Rank  \n",
       "19580                                      Sehr kosmisch  11164   1.0  \n",
       "5782                      Dog Days Are Over (Radio Edit)  10439   2.0  \n",
       "27315                                     You're The One   9641   3.0  \n",
       "19542                                            Secrets   9090   4.0  \n",
       "18636                                            Revelry   9074   5.0  \n",
       "25071                                               Undo   8715   6.0  \n",
       "7530                                           Fireflies   7792   7.0  \n",
       "9640                                    Hey_ Soul Sister   7764   8.0  \n",
       "25217                                       Use Somebody   7660   9.0  \n",
       "9921   Horn Concerto No. 4 in E flat K495: II. Romanc...   7456  10.0  \n",
       "24292                                           Tive Sim   7211  11.0  \n",
       "23469                                      The Scientist   6934  12.0  \n",
       "3630                                              Canada   6857  13.0  \n",
       "4195                                              Clocks   6765  14.0  \n",
       "12135                                         Just Dance   6694  15.0  \n",
       "26975                                             Yellow   6575  16.0  \n",
       "16438                                                OMG   6516  17.0  \n",
       "9844                                                Home   6245  18.0  \n",
       "3296                                         Bulletproof   6191  19.0  \n",
       "4762                                    Creep (Explicit)   6174  20.0  "
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "user_rand = test_data.iat[0,0]\n",
    "recommendations_user['user_id'] = user_rand\n",
    "#Bring user_id column to the front\n",
    "cols = recommendations_user.columns.tolist()\n",
    "cols = cols[-1:] + cols[:-1]\n",
    "recommendations_user = recommendations_user[cols]\n",
    "recommendations_user"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "这里进行最流行歌曲推荐时使用的分割好的训练数据，也可以直接使用全体数据进行推荐，结果差不多"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [],
   "source": [
    "recommendations_user = popularity_recommendation_fit(triplet_dataset_sub_song_merged,'user','title')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "      <th>title</th>\n",
       "      <th>score</th>\n",
       "      <th>Rank</th>\n",
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       "  <tbody>\n",
       "    <tr>\n",
       "      <th>19580</th>\n",
       "      <td>Sehr kosmisch</td>\n",
       "      <td>18636</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5782</th>\n",
       "      <td>Dog Days Are Over (Radio Edit)</td>\n",
       "      <td>17637</td>\n",
       "      <td>2.0</td>\n",
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       "    <tr>\n",
       "      <th>27315</th>\n",
       "      <td>You're The One</td>\n",
       "      <td>16089</td>\n",
       "      <td>3.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19542</th>\n",
       "      <td>Secrets</td>\n",
       "      <td>15142</td>\n",
       "      <td>4.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18636</th>\n",
       "      <td>Revelry</td>\n",
       "      <td>14941</td>\n",
       "      <td>5.0</td>\n",
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       "    <tr>\n",
       "      <th>25071</th>\n",
       "      <td>Undo</td>\n",
       "      <td>14683</td>\n",
       "      <td>6.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7530</th>\n",
       "      <td>Fireflies</td>\n",
       "      <td>13091</td>\n",
       "      <td>7.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9640</th>\n",
       "      <td>Hey_ Soul Sister</td>\n",
       "      <td>13001</td>\n",
       "      <td>8.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25217</th>\n",
       "      <td>Use Somebody</td>\n",
       "      <td>12794</td>\n",
       "      <td>9.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9921</th>\n",
       "      <td>Horn Concerto No. 4 in E flat K495: II. Romanc...</td>\n",
       "      <td>12343</td>\n",
       "      <td>10.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24292</th>\n",
       "      <td>Tive Sim</td>\n",
       "      <td>11830</td>\n",
       "      <td>11.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3630</th>\n",
       "      <td>Canada</td>\n",
       "      <td>11595</td>\n",
       "      <td>12.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23469</th>\n",
       "      <td>The Scientist</td>\n",
       "      <td>11537</td>\n",
       "      <td>13.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4195</th>\n",
       "      <td>Clocks</td>\n",
       "      <td>11358</td>\n",
       "      <td>14.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12135</th>\n",
       "      <td>Just Dance</td>\n",
       "      <td>11066</td>\n",
       "      <td>15.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26975</th>\n",
       "      <td>Yellow</td>\n",
       "      <td>10923</td>\n",
       "      <td>16.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16438</th>\n",
       "      <td>OMG</td>\n",
       "      <td>10825</td>\n",
       "      <td>17.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9844</th>\n",
       "      <td>Home</td>\n",
       "      <td>10507</td>\n",
       "      <td>18.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3296</th>\n",
       "      <td>Bulletproof</td>\n",
       "      <td>10385</td>\n",
       "      <td>19.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4762</th>\n",
       "      <td>Creep (Explicit)</td>\n",
       "      <td>10243</td>\n",
       "      <td>20.0</td>\n",
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      ],
      "text/plain": [
       "                                                   title  score  Rank\n",
       "19580                                      Sehr kosmisch  18636   1.0\n",
       "5782                      Dog Days Are Over (Radio Edit)  17637   2.0\n",
       "27315                                     You're The One  16089   3.0\n",
       "19542                                            Secrets  15142   4.0\n",
       "18636                                            Revelry  14941   5.0\n",
       "25071                                               Undo  14683   6.0\n",
       "7530                                           Fireflies  13091   7.0\n",
       "9640                                    Hey_ Soul Sister  13001   8.0\n",
       "25217                                       Use Somebody  12794   9.0\n",
       "9921   Horn Concerto No. 4 in E flat K495: II. Romanc...  12343  10.0\n",
       "24292                                           Tive Sim  11830  11.0\n",
       "3630                                              Canada  11595  12.0\n",
       "23469                                      The Scientist  11537  13.0\n",
       "4195                                              Clocks  11358  14.0\n",
       "12135                                         Just Dance  11066  15.0\n",
       "26975                                             Yellow  10923  16.0\n",
       "16438                                                OMG  10825  17.0\n",
       "9844                                                Home  10507  18.0\n",
       "3296                                         Bulletproof  10385  19.0\n",
       "4762                                    Creep (Explicit)  10243  20.0"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "recommendations_user"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "可以看出来基本差不多"
   ]
  }
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